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Finding the Fourth Proportional to 5,460.75, 7,535.70 and 3,102.57

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Solution

The fourth proportional to 5,460.75, 7,535.70 and 3,102.57 is: 4,281.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.75 : 7,535.70 = 3,102.57 : x
  2. Step 2: Convert to fraction form
    5,460.75/7,535.70 = 3,102.57/x
  3. Step 3: Cross multiply
    5,460.75x = 7,535.70 × 3,102.57
  4. Step 4: Simplify right side
    5,460.75x = 23,380,036.75
  5. Step 5: Solve for x
    x = 23,380,036.75/5,460.75
  6. Step 6: Final answer
    x = 4,281.47

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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.