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Finding the Fourth Proportional to 5,462.40, 8,192.97 and 1,513.95

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Solution

The fourth proportional to 5,462.40, 8,192.97 and 1,513.95 is: 2,270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.40 : 8,192.97 = 1,513.95 : x
  2. Step 2: Convert to fraction form
    5,462.40/8,192.97 = 1,513.95/x
  3. Step 3: Cross multiply
    5,462.40x = 8,192.97 × 1,513.95
  4. Step 4: Simplify right side
    5,462.40x = 12,403,746.93
  5. Step 5: Solve for x
    x = 12,403,746.93/5,462.40
  6. Step 6: Final answer
    x = 2,270.75

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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.