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Finding the Fourth Proportional to 4,242.63, 5,852.61 and 2,472.78

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Solution

The fourth proportional to 4,242.63, 5,852.61 and 2,472.78 is: 3,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.63 : 5,852.61 = 2,472.78 : x
  2. Step 2: Convert to fraction form
    4,242.63/5,852.61 = 2,472.78/x
  3. Step 3: Cross multiply
    4,242.63x = 5,852.61 × 2,472.78
  4. Step 4: Simplify right side
    4,242.63x = 14,472,216.96
  5. Step 5: Solve for x
    x = 14,472,216.96/4,242.63
  6. Step 6: Final answer
    x = 3,411.14

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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.