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Finding the Fourth Proportional to 3,423.47, 5,129.70 and 3,095.42

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Solution

The fourth proportional to 3,423.47, 5,129.70 and 3,095.42 is: 4,638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.47 : 5,129.70 = 3,095.42 : x
  2. Step 2: Convert to fraction form
    3,423.47/5,129.70 = 3,095.42/x
  3. Step 3: Cross multiply
    3,423.47x = 5,129.70 × 3,095.42
  4. Step 4: Simplify right side
    3,423.47x = 15,878,550.33
  5. Step 5: Solve for x
    x = 15,878,550.33/3,423.47
  6. Step 6: Final answer
    x = 4,638.15

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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.