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Finding the Fourth Proportional to 5,616.56, 8,424.80 and 4,385

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Solution

The fourth proportional to 5,616.56, 8,424.80 and 4,385 is: 6,577.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.56 : 8,424.80 = 4,385 : x
  2. Step 2: Convert to fraction form
    5,616.56/8,424.80 = 4,385/x
  3. Step 3: Cross multiply
    5,616.56x = 8,424.80 × 4,385
  4. Step 4: Simplify right side
    5,616.56x = 36,942,748
  5. Step 5: Solve for x
    x = 36,942,748/5,616.56
  6. Step 6: Final answer
    x = 6,577.47

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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.