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Finding the Fourth Proportional to 5,666,801.49, 7,823,176.25 and 4,552,154.01

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Solution

The fourth proportional to 5,666,801.49, 7,823,176.25 and 4,552,154.01 is: 6,284,374.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666,801.49 : 7,823,176.25 = 4,552,154.01 : x
  2. Step 2: Convert to fraction form
    5,666,801.49/7,823,176.25 = 4,552,154.01/x
  3. Step 3: Cross multiply
    5,666,801.49x = 7,823,176.25 × 4,552,154.01
  4. Step 4: Simplify right side
    5,666,801.49x = 35,612,303,114,613.49
  5. Step 5: Solve for x
    x = 35,612,303,114,613.49/5,666,801.49
  6. Step 6: Final answer
    x = 6,284,374.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.