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Finding the Fourth Proportional to 4,718.40, 7,071.52 and 2,528

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Solution

The fourth proportional to 4,718.40, 7,071.52 and 2,528 is: 3,788.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718.40 : 7,071.52 = 2,528 : x
  2. Step 2: Convert to fraction form
    4,718.40/7,071.52 = 2,528/x
  3. Step 3: Cross multiply
    4,718.40x = 7,071.52 × 2,528
  4. Step 4: Simplify right side
    4,718.40x = 17,876,802.56
  5. Step 5: Solve for x
    x = 17,876,802.56/4,718.40
  6. Step 6: Final answer
    x = 3,788.74

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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.