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Finding the Fourth Proportional to 4,029, 5,560.98 and 2,458.41

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Solution

The fourth proportional to 4,029, 5,560.98 and 2,458.41 is: 3,393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,029 : 5,560.98 = 2,458.41 : x
  2. Step 2: Convert to fraction form
    4,029/5,560.98 = 2,458.41/x
  3. Step 3: Cross multiply
    4,029x = 5,560.98 × 2,458.41
  4. Step 4: Simplify right side
    4,029x = 13,671,168.84
  5. Step 5: Solve for x
    x = 13,671,168.84/4,029
  6. Step 6: Final answer
    x = 3,393.19

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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.