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Finding the Fourth Proportional to 5,052.71, 6,973.82 and 3,395.75

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Solution

The fourth proportional to 5,052.71, 6,973.82 and 3,395.75 is: 4,686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.71 : 6,973.82 = 3,395.75 : x
  2. Step 2: Convert to fraction form
    5,052.71/6,973.82 = 3,395.75/x
  3. Step 3: Cross multiply
    5,052.71x = 6,973.82 × 3,395.75
  4. Step 4: Simplify right side
    5,052.71x = 23,681,332.29
  5. Step 5: Solve for x
    x = 23,681,332.29/5,052.71
  6. Step 6: Final answer
    x = 4,686.86

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