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Finding the Fourth Proportional to 5,410.89, 8,117.71 and 1,515.31

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Solution

The fourth proportional to 5,410.89, 8,117.71 and 1,515.31 is: 2,273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.89 : 8,117.71 = 1,515.31 : x
  2. Step 2: Convert to fraction form
    5,410.89/8,117.71 = 1,515.31/x
  3. Step 3: Cross multiply
    5,410.89x = 8,117.71 × 1,515.31
  4. Step 4: Simplify right side
    5,410.89x = 12,300,823.06
  5. Step 5: Solve for x
    x = 12,300,823.06/5,410.89
  6. Step 6: Final answer
    x = 2,273.35

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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.