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Finding the Fourth Proportional to 4,443.60, 6,670.80 and 2,470.80

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Solution

The fourth proportional to 4,443.60, 6,670.80 and 2,470.80 is: 3,709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,443.60 : 6,670.80 = 2,470.80 : x
  2. Step 2: Convert to fraction form
    4,443.60/6,670.80 = 2,470.80/x
  3. Step 3: Cross multiply
    4,443.60x = 6,670.80 × 2,470.80
  4. Step 4: Simplify right side
    4,443.60x = 16,482,212.64
  5. Step 5: Solve for x
    x = 16,482,212.64/4,443.60
  6. Step 6: Final answer
    x = 3,709.20

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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.