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Finding the Fourth Proportional to 5,443.64, 7,505.80 and 5,040.13

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Solution

The fourth proportional to 5,443.64, 7,505.80 and 5,040.13 is: 6,949.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.64 : 7,505.80 = 5,040.13 : x
  2. Step 2: Convert to fraction form
    5,443.64/7,505.80 = 5,040.13/x
  3. Step 3: Cross multiply
    5,443.64x = 7,505.80 × 5,040.13
  4. Step 4: Simplify right side
    5,443.64x = 37,830,207.75
  5. Step 5: Solve for x
    x = 37,830,207.75/5,443.64
  6. Step 6: Final answer
    x = 6,949.43

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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.