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Finding the Fourth Proportional to 3,615.14, 5,422.71 and 1,017.74

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Solution

The fourth proportional to 3,615.14, 5,422.71 and 1,017.74 is: 1,526.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.14 : 5,422.71 = 1,017.74 : x
  2. Step 2: Convert to fraction form
    3,615.14/5,422.71 = 1,017.74/x
  3. Step 3: Cross multiply
    3,615.14x = 5,422.71 × 1,017.74
  4. Step 4: Simplify right side
    3,615.14x = 5,518,908.88
  5. Step 5: Solve for x
    x = 5,518,908.88/3,615.14
  6. Step 6: Final answer
    x = 1,526.61

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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.