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Finding the Fourth Proportional to 4,446.30, 6,670.80 and 2,497.20

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Solution

The fourth proportional to 4,446.30, 6,670.80 and 2,497.20 is: 3,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.30 : 6,670.80 = 2,497.20 : x
  2. Step 2: Convert to fraction form
    4,446.30/6,670.80 = 2,497.20/x
  3. Step 3: Cross multiply
    4,446.30x = 6,670.80 × 2,497.20
  4. Step 4: Simplify right side
    4,446.30x = 16,658,321.76
  5. Step 5: Solve for x
    x = 16,658,321.76/4,446.30
  6. Step 6: Final answer
    x = 3,746.56

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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.