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Finding the Fourth Proportional to 5,355.84, 7,397.28 and 4,733.76

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Solution

The fourth proportional to 5,355.84, 7,397.28 and 4,733.76 is: 6,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.84 : 7,397.28 = 4,733.76 : x
  2. Step 2: Convert to fraction form
    5,355.84/7,397.28 = 4,733.76/x
  3. Step 3: Cross multiply
    5,355.84x = 7,397.28 × 4,733.76
  4. Step 4: Simplify right side
    5,355.84x = 35,016,948.17
  5. Step 5: Solve for x
    x = 35,016,948.17/5,355.84
  6. Step 6: Final answer
    x = 6,538.09

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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.