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Finding the Fourth Proportional to 4,098.60, 5,659.20 and 3,152.93

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Solution

The fourth proportional to 4,098.60, 5,659.20 and 3,152.93 is: 4,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.60 : 5,659.20 = 3,152.93 : x
  2. Step 2: Convert to fraction form
    4,098.60/5,659.20 = 3,152.93/x
  3. Step 3: Cross multiply
    4,098.60x = 5,659.20 × 3,152.93
  4. Step 4: Simplify right side
    4,098.60x = 17,843,033.16
  5. Step 5: Solve for x
    x = 17,843,033.16/4,098.60
  6. Step 6: Final answer
    x = 4,353.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.