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Finding the Fourth Proportional to 4,574.68, 6,313.14 and 2,585.32

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Solution

The fourth proportional to 4,574.68, 6,313.14 and 2,585.32 is: 3,567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.68 : 6,313.14 = 2,585.32 : x
  2. Step 2: Convert to fraction form
    4,574.68/6,313.14 = 2,585.32/x
  3. Step 3: Cross multiply
    4,574.68x = 6,313.14 × 2,585.32
  4. Step 4: Simplify right side
    4,574.68x = 16,321,487.10
  5. Step 5: Solve for x
    x = 16,321,487.10/4,574.68
  6. Step 6: Final answer
    x = 3,567.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.