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Finding the Fourth Proportional to 3,136.42, 4,705.10 and 944.92

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Solution

The fourth proportional to 3,136.42, 4,705.10 and 944.92 is: 1,417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.42 : 4,705.10 = 944.92 : x
  2. Step 2: Convert to fraction form
    3,136.42/4,705.10 = 944.92/x
  3. Step 3: Cross multiply
    3,136.42x = 4,705.10 × 944.92
  4. Step 4: Simplify right side
    3,136.42x = 4,445,943.09
  5. Step 5: Solve for x
    x = 4,445,943.09/3,136.42
  6. Step 6: Final answer
    x = 1,417.52

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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.