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Finding the Fourth Proportional to 5,248.32, 7,870.14 and 2,782.56

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Solution

The fourth proportional to 5,248.32, 7,870.14 and 2,782.56 is: 4,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.32 : 7,870.14 = 2,782.56 : x
  2. Step 2: Convert to fraction form
    5,248.32/7,870.14 = 2,782.56/x
  3. Step 3: Cross multiply
    5,248.32x = 7,870.14 × 2,782.56
  4. Step 4: Simplify right side
    5,248.32x = 21,899,136.76
  5. Step 5: Solve for x
    x = 21,899,136.76/5,248.32
  6. Step 6: Final answer
    x = 4,172.60

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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.