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Finding the Fourth Proportional to 4,662.32, 6,434.12 and 2,566.48

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Solution

The fourth proportional to 4,662.32, 6,434.12 and 2,566.48 is: 3,541.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.32 : 6,434.12 = 2,566.48 : x
  2. Step 2: Convert to fraction form
    4,662.32/6,434.12 = 2,566.48/x
  3. Step 3: Cross multiply
    4,662.32x = 6,434.12 × 2,566.48
  4. Step 4: Simplify right side
    4,662.32x = 16,513,040.30
  5. Step 5: Solve for x
    x = 16,513,040.30/4,662.32
  6. Step 6: Final answer
    x = 3,541.81

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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.