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Finding the Fourth Proportional to 4,239.32, 5,852.22 and 2,470.28

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Solution

The fourth proportional to 4,239.32, 5,852.22 and 2,470.28 is: 3,410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,239.32 : 5,852.22 = 2,470.28 : x
  2. Step 2: Convert to fraction form
    4,239.32/5,852.22 = 2,470.28/x
  3. Step 3: Cross multiply
    4,239.32x = 5,852.22 × 2,470.28
  4. Step 4: Simplify right side
    4,239.32x = 14,456,622.02
  5. Step 5: Solve for x
    x = 14,456,622.02/4,239.32
  6. Step 6: Final answer
    x = 3,410.13

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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.