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Finding the Fourth Proportional to 4,333.98, 5,982.42 and 2,565.58

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Solution

The fourth proportional to 4,333.98, 5,982.42 and 2,565.58 is: 3,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.98 : 5,982.42 = 2,565.58 : x
  2. Step 2: Convert to fraction form
    4,333.98/5,982.42 = 2,565.58/x
  3. Step 3: Cross multiply
    4,333.98x = 5,982.42 × 2,565.58
  4. Step 4: Simplify right side
    4,333.98x = 15,348,377.10
  5. Step 5: Solve for x
    x = 15,348,377.10/4,333.98
  6. Step 6: Final answer
    x = 3,541.40

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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.