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Finding the Fourth Proportional to 3,423.60, 4,724.04 and 1,931.40

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Solution

The fourth proportional to 3,423.60, 4,724.04 and 1,931.40 is: 2,665.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.60 : 4,724.04 = 1,931.40 : x
  2. Step 2: Convert to fraction form
    3,423.60/4,724.04 = 1,931.40/x
  3. Step 3: Cross multiply
    3,423.60x = 4,724.04 × 1,931.40
  4. Step 4: Simplify right side
    3,423.60x = 9,124,010.86
  5. Step 5: Solve for x
    x = 9,124,010.86/3,423.60
  6. Step 6: Final answer
    x = 2,665.03

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Why These Related Problems?

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