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Finding the Fourth Proportional to 5,630.64, 8,446.46 and 1,470.62

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Solution

The fourth proportional to 5,630.64, 8,446.46 and 1,470.62 is: 2,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.64 : 8,446.46 = 1,470.62 : x
  2. Step 2: Convert to fraction form
    5,630.64/8,446.46 = 1,470.62/x
  3. Step 3: Cross multiply
    5,630.64x = 8,446.46 × 1,470.62
  4. Step 4: Simplify right side
    5,630.64x = 12,421,483.42
  5. Step 5: Solve for x
    x = 12,421,483.42/5,630.64
  6. Step 6: Final answer
    x = 2,206.05

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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.