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Finding the Fourth Proportional to 4,051.92, 6,073.43 and 1,586.28

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Solution

The fourth proportional to 4,051.92, 6,073.43 and 1,586.28 is: 2,377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.92 : 6,073.43 = 1,586.28 : x
  2. Step 2: Convert to fraction form
    4,051.92/6,073.43 = 1,586.28/x
  3. Step 3: Cross multiply
    4,051.92x = 6,073.43 × 1,586.28
  4. Step 4: Simplify right side
    4,051.92x = 9,634,152.61
  5. Step 5: Solve for x
    x = 9,634,152.61/4,051.92
  6. Step 6: Final answer
    x = 2,377.68

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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.