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Finding the Fourth Proportional to 3,189.60, 4,807.72 and 3,057.76

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Solution

The fourth proportional to 3,189.60, 4,807.72 and 3,057.76 is: 4,609.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.60 : 4,807.72 = 3,057.76 : x
  2. Step 2: Convert to fraction form
    3,189.60/4,807.72 = 3,057.76/x
  3. Step 3: Cross multiply
    3,189.60x = 4,807.72 × 3,057.76
  4. Step 4: Simplify right side
    3,189.60x = 14,700,853.91
  5. Step 5: Solve for x
    x = 14,700,853.91/3,189.60
  6. Step 6: Final answer
    x = 4,609.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.