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Finding the Fourth Proportional to 5,385.88, 7,436.82 and 3,498.40

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Solution

The fourth proportional to 5,385.88, 7,436.82 and 3,498.40 is: 4,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.88 : 7,436.82 = 3,498.40 : x
  2. Step 2: Convert to fraction form
    5,385.88/7,436.82 = 3,498.40/x
  3. Step 3: Cross multiply
    5,385.88x = 7,436.82 × 3,498.40
  4. Step 4: Simplify right side
    5,385.88x = 26,016,971.09
  5. Step 5: Solve for x
    x = 26,016,971.09/5,385.88
  6. Step 6: Final answer
    x = 4,830.59

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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.