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Finding the Fourth Proportional to 4,666.57, 6,439.84 and 2,542.07

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Solution

The fourth proportional to 4,666.57, 6,439.84 and 2,542.07 is: 3,508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.57 : 6,439.84 = 2,542.07 : x
  2. Step 2: Convert to fraction form
    4,666.57/6,439.84 = 2,542.07/x
  3. Step 3: Cross multiply
    4,666.57x = 6,439.84 × 2,542.07
  4. Step 4: Simplify right side
    4,666.57x = 16,370,533.81
  5. Step 5: Solve for x
    x = 16,370,533.81/4,666.57
  6. Step 6: Final answer
    x = 3,508.05

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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.