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Finding the Fourth Proportional to 5,307.75, 7,961.31 and 1,610.01

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Solution

The fourth proportional to 5,307.75, 7,961.31 and 1,610.01 is: 2,414.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.75 : 7,961.31 = 1,610.01 : x
  2. Step 2: Convert to fraction form
    5,307.75/7,961.31 = 1,610.01/x
  3. Step 3: Cross multiply
    5,307.75x = 7,961.31 × 1,610.01
  4. Step 4: Simplify right side
    5,307.75x = 12,817,788.71
  5. Step 5: Solve for x
    x = 12,817,788.71/5,307.75
  6. Step 6: Final answer
    x = 2,414.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.