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Finding the Fourth Proportional to 5,652.65, 7,801.05 and 3,135.00

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Solution

The fourth proportional to 5,652.65, 7,801.05 and 3,135.00 is: 4,326.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.65 : 7,801.05 = 3,135.00 : x
  2. Step 2: Convert to fraction form
    5,652.65/7,801.05 = 3,135.00/x
  3. Step 3: Cross multiply
    5,652.65x = 7,801.05 × 3,135.00
  4. Step 4: Simplify right side
    5,652.65x = 24,456,237.07
  5. Step 5: Solve for x
    x = 24,456,237.07/5,652.65
  6. Step 6: Final answer
    x = 4,326.51

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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.