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Finding the Fourth Proportional to 4,347.60, 6,492.31 and 3,412.66

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Solution

The fourth proportional to 4,347.60, 6,492.31 and 3,412.66 is: 5,096.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.60 : 6,492.31 = 3,412.66 : x
  2. Step 2: Convert to fraction form
    4,347.60/6,492.31 = 3,412.66/x
  3. Step 3: Cross multiply
    4,347.60x = 6,492.31 × 3,412.66
  4. Step 4: Simplify right side
    4,347.60x = 22,156,046.64
  5. Step 5: Solve for x
    x = 22,156,046.64/4,347.60
  6. Step 6: Final answer
    x = 5,096.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.