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Finding the Fourth Proportional to 5,437.71, 7,504.01 and 2,953.71

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Solution

The fourth proportional to 5,437.71, 7,504.01 and 2,953.71 is: 4,076.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,437.71 : 7,504.01 = 2,953.71 : x
  2. Step 2: Convert to fraction form
    5,437.71/7,504.01 = 2,953.71/x
  3. Step 3: Cross multiply
    5,437.71x = 7,504.01 × 2,953.71
  4. Step 4: Simplify right side
    5,437.71x = 22,164,669.38
  5. Step 5: Solve for x
    x = 22,164,669.38/5,437.71
  6. Step 6: Final answer
    x = 4,076.10

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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.