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Finding the Fourth Proportional to 3,472, 5,210.18 and 1,281.76

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Solution

The fourth proportional to 3,472, 5,210.18 and 1,281.76 is: 1,923.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472 : 5,210.18 = 1,281.76 : x
  2. Step 2: Convert to fraction form
    3,472/5,210.18 = 1,281.76/x
  3. Step 3: Cross multiply
    3,472x = 5,210.18 × 1,281.76
  4. Step 4: Simplify right side
    3,472x = 6,678,200.32
  5. Step 5: Solve for x
    x = 6,678,200.32/3,472
  6. Step 6: Final answer
    x = 1,923.44

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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.