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Finding the Fourth Proportional to 3,587.60, 5,381.40 and 3,112.40

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Solution

The fourth proportional to 3,587.60, 5,381.40 and 3,112.40 is: 4,668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.60 : 5,381.40 = 3,112.40 : x
  2. Step 2: Convert to fraction form
    3,587.60/5,381.40 = 3,112.40/x
  3. Step 3: Cross multiply
    3,587.60x = 5,381.40 × 3,112.40
  4. Step 4: Simplify right side
    3,587.60x = 16,749,069.36
  5. Step 5: Solve for x
    x = 16,749,069.36/3,587.60
  6. Step 6: Final answer
    x = 4,668.60

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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.