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Finding the Fourth Proportional to 5,602.69, 7,728.50 and 3,503.17

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Solution

The fourth proportional to 5,602.69, 7,728.50 and 3,503.17 is: 4,832.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.69 : 7,728.50 = 3,503.17 : x
  2. Step 2: Convert to fraction form
    5,602.69/7,728.50 = 3,503.17/x
  3. Step 3: Cross multiply
    5,602.69x = 7,728.50 × 3,503.17
  4. Step 4: Simplify right side
    5,602.69x = 27,074,210.70
  5. Step 5: Solve for x
    x = 27,074,210.70/5,602.69
  6. Step 6: Final answer
    x = 4,832.36

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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.