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Finding the Fourth Proportional to 5,460.78, 7,535.64 and 3,102.87

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Solution

The fourth proportional to 5,460.78, 7,535.64 and 3,102.87 is: 4,281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.78 : 7,535.64 = 3,102.87 : x
  2. Step 2: Convert to fraction form
    5,460.78/7,535.64 = 3,102.87/x
  3. Step 3: Cross multiply
    5,460.78x = 7,535.64 × 3,102.87
  4. Step 4: Simplify right side
    5,460.78x = 23,382,111.29
  5. Step 5: Solve for x
    x = 23,382,111.29/5,460.78
  6. Step 6: Final answer
    x = 4,281.83

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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.