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Finding the Fourth Proportional to 5,217.68, 7,826.53 and 1,520

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Solution

The fourth proportional to 5,217.68, 7,826.53 and 1,520 is: 2,280.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.68 : 7,826.53 = 1,520 : x
  2. Step 2: Convert to fraction form
    5,217.68/7,826.53 = 1,520/x
  3. Step 3: Cross multiply
    5,217.68x = 7,826.53 × 1,520
  4. Step 4: Simplify right side
    5,217.68x = 11,896,325.60
  5. Step 5: Solve for x
    x = 11,896,325.60/5,217.68
  6. Step 6: Final answer
    x = 2,280.01

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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.