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Finding the Fourth Proportional to 4,509.60, 6,763.19 and 3,057.68

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Solution

The fourth proportional to 4,509.60, 6,763.19 and 3,057.68 is: 4,585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.60 : 6,763.19 = 3,057.68 : x
  2. Step 2: Convert to fraction form
    4,509.60/6,763.19 = 3,057.68/x
  3. Step 3: Cross multiply
    4,509.60x = 6,763.19 × 3,057.68
  4. Step 4: Simplify right side
    4,509.60x = 20,679,621.69
  5. Step 5: Solve for x
    x = 20,679,621.69/4,509.60
  6. Step 6: Final answer
    x = 4,585.69

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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.