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Finding the Fourth Proportional to 5,417.28, 8,117.28 and 3,110.40

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Solution

The fourth proportional to 5,417.28, 8,117.28 and 3,110.40 is: 4,660.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,417.28 : 8,117.28 = 3,110.40 : x
  2. Step 2: Convert to fraction form
    5,417.28/8,117.28 = 3,110.40/x
  3. Step 3: Cross multiply
    5,417.28x = 8,117.28 × 3,110.40
  4. Step 4: Simplify right side
    5,417.28x = 25,247,987.71
  5. Step 5: Solve for x
    x = 25,247,987.71/5,417.28
  6. Step 6: Final answer
    x = 4,660.64

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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.