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Finding the Fourth Proportional to 5,913.60, 8,159.52 and 3,429.60

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Solution

The fourth proportional to 5,913.60, 8,159.52 and 3,429.60 is: 4,732.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.60 : 8,159.52 = 3,429.60 : x
  2. Step 2: Convert to fraction form
    5,913.60/8,159.52 = 3,429.60/x
  3. Step 3: Cross multiply
    5,913.60x = 8,159.52 × 3,429.60
  4. Step 4: Simplify right side
    5,913.60x = 27,983,889.79
  5. Step 5: Solve for x
    x = 27,983,889.79/5,913.60
  6. Step 6: Final answer
    x = 4,732.12

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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.