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Finding the Fourth Proportional to 5,027, 7,549.14 and 4,569.08

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Solution

The fourth proportional to 5,027, 7,549.14 and 4,569.08 is: 6,861.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027 : 7,549.14 = 4,569.08 : x
  2. Step 2: Convert to fraction form
    5,027/7,549.14 = 4,569.08/x
  3. Step 3: Cross multiply
    5,027x = 7,549.14 × 4,569.08
  4. Step 4: Simplify right side
    5,027x = 34,492,624.59
  5. Step 5: Solve for x
    x = 34,492,624.59/5,027
  6. Step 6: Final answer
    x = 6,861.47

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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.