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Finding the Fourth Proportional to 3,483.14, 5,225.22 and 1,017.66

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Solution

The fourth proportional to 3,483.14, 5,225.22 and 1,017.66 is: 1,526.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.14 : 5,225.22 = 1,017.66 : x
  2. Step 2: Convert to fraction form
    3,483.14/5,225.22 = 1,017.66/x
  3. Step 3: Cross multiply
    3,483.14x = 5,225.22 × 1,017.66
  4. Step 4: Simplify right side
    3,483.14x = 5,317,497.39
  5. Step 5: Solve for x
    x = 5,317,497.39/3,483.14
  6. Step 6: Final answer
    x = 1,526.64

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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.