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Finding the Fourth Proportional to 3,585.66, 5,374.57 and 2,353.92

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Solution

The fourth proportional to 3,585.66, 5,374.57 and 2,353.92 is: 3,528.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.66 : 5,374.57 = 2,353.92 : x
  2. Step 2: Convert to fraction form
    3,585.66/5,374.57 = 2,353.92/x
  3. Step 3: Cross multiply
    3,585.66x = 5,374.57 × 2,353.92
  4. Step 4: Simplify right side
    3,585.66x = 12,651,307.81
  5. Step 5: Solve for x
    x = 12,651,307.81/3,585.66
  6. Step 6: Final answer
    x = 3,528.31

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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.