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Finding the Fourth Proportional to 4,189.60, 6,281.82 and 1,416

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Solution

The fourth proportional to 4,189.60, 6,281.82 and 1,416 is: 2,123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.60 : 6,281.82 = 1,416 : x
  2. Step 2: Convert to fraction form
    4,189.60/6,281.82 = 1,416/x
  3. Step 3: Cross multiply
    4,189.60x = 6,281.82 × 1,416
  4. Step 4: Simplify right side
    4,189.60x = 8,895,057.12
  5. Step 5: Solve for x
    x = 8,895,057.12/4,189.60
  6. Step 6: Final answer
    x = 2,123.13

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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.