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Finding the Fourth Proportional to 3,483.70, 5,225.52 and 886.62

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Solution

The fourth proportional to 3,483.70, 5,225.52 and 886.62 is: 1,329.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.70 : 5,225.52 = 886.62 : x
  2. Step 2: Convert to fraction form
    3,483.70/5,225.52 = 886.62/x
  3. Step 3: Cross multiply
    3,483.70x = 5,225.52 × 886.62
  4. Step 4: Simplify right side
    3,483.70x = 4,633,050.54
  5. Step 5: Solve for x
    x = 4,633,050.54/3,483.70
  6. Step 6: Final answer
    x = 1,329.92

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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.