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Finding the Fourth Proportional to 3,585.68, 5,374.62 and 1,506.81

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Solution

The fourth proportional to 3,585.68, 5,374.62 and 1,506.81 is: 2,258.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.68 : 5,374.62 = 1,506.81 : x
  2. Step 2: Convert to fraction form
    3,585.68/5,374.62 = 1,506.81/x
  3. Step 3: Cross multiply
    3,585.68x = 5,374.62 × 1,506.81
  4. Step 4: Simplify right side
    3,585.68x = 8,098,531.16
  5. Step 5: Solve for x
    x = 8,098,531.16/3,585.68
  6. Step 6: Final answer
    x = 2,258.58

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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.