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Finding the Fourth Proportional to 5,460.62, 7,535.88 and 3,102.75

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Solution

The fourth proportional to 5,460.62, 7,535.88 and 3,102.75 is: 4,281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.62 : 7,535.88 = 3,102.75 : x
  2. Step 2: Convert to fraction form
    5,460.62/7,535.88 = 3,102.75/x
  3. Step 3: Cross multiply
    5,460.62x = 7,535.88 × 3,102.75
  4. Step 4: Simplify right side
    5,460.62x = 23,381,951.67
  5. Step 5: Solve for x
    x = 23,381,951.67/5,460.62
  6. Step 6: Final answer
    x = 4,281.93

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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.