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Finding the Fourth Proportional to 4,715.74, 7,071.18 and 3,237.22

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Solution

The fourth proportional to 4,715.74, 7,071.18 and 3,237.22 is: 4,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715.74 : 7,071.18 = 3,237.22 : x
  2. Step 2: Convert to fraction form
    4,715.74/7,071.18 = 3,237.22/x
  3. Step 3: Cross multiply
    4,715.74x = 7,071.18 × 3,237.22
  4. Step 4: Simplify right side
    4,715.74x = 22,890,965.32
  5. Step 5: Solve for x
    x = 22,890,965.32/4,715.74
  6. Step 6: Final answer
    x = 4,854.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.