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Finding the Fourth Proportional to 3,705.42, 5,562.08 and 2,065.16

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Solution

The fourth proportional to 3,705.42, 5,562.08 and 2,065.16 is: 3,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.42 : 5,562.08 = 2,065.16 : x
  2. Step 2: Convert to fraction form
    3,705.42/5,562.08 = 2,065.16/x
  3. Step 3: Cross multiply
    3,705.42x = 5,562.08 × 2,065.16
  4. Step 4: Simplify right side
    3,705.42x = 11,486,585.13
  5. Step 5: Solve for x
    x = 11,486,585.13/3,705.42
  6. Step 6: Final answer
    x = 3,099.94

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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.