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Finding the Fourth Proportional to 5,185.40, 7,776.95 and 1,487.61

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Solution

The fourth proportional to 5,185.40, 7,776.95 and 1,487.61 is: 2,231.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.40 : 7,776.95 = 1,487.61 : x
  2. Step 2: Convert to fraction form
    5,185.40/7,776.95 = 1,487.61/x
  3. Step 3: Cross multiply
    5,185.40x = 7,776.95 × 1,487.61
  4. Step 4: Simplify right side
    5,185.40x = 11,569,061.15
  5. Step 5: Solve for x
    x = 11,569,061.15/5,185.40
  6. Step 6: Final answer
    x = 2,231.09

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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.