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Finding the Fourth Proportional to 3,543.85, 4,884.33 and 2,597.64

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Solution

The fourth proportional to 3,543.85, 4,884.33 and 2,597.64 is: 3,580.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.85 : 4,884.33 = 2,597.64 : x
  2. Step 2: Convert to fraction form
    3,543.85/4,884.33 = 2,597.64/x
  3. Step 3: Cross multiply
    3,543.85x = 4,884.33 × 2,597.64
  4. Step 4: Simplify right side
    3,543.85x = 12,687,712.66
  5. Step 5: Solve for x
    x = 12,687,712.66/3,543.85
  6. Step 6: Final answer
    x = 3,580.20

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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.