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Finding the Fourth Proportional to 3,913.60, 5,874.72 and 3,097.12

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Solution

The fourth proportional to 3,913.60, 5,874.72 and 3,097.12 is: 4,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.60 : 5,874.72 = 3,097.12 : x
  2. Step 2: Convert to fraction form
    3,913.60/5,874.72 = 3,097.12/x
  3. Step 3: Cross multiply
    3,913.60x = 5,874.72 × 3,097.12
  4. Step 4: Simplify right side
    3,913.60x = 18,194,712.81
  5. Step 5: Solve for x
    x = 18,194,712.81/3,913.60
  6. Step 6: Final answer
    x = 4,649.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.