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Finding the Fourth Proportional to 3,575.68, 5,363.52 and 1,267.12

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Solution

The fourth proportional to 3,575.68, 5,363.52 and 1,267.12 is: 1,900.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.68 : 5,363.52 = 1,267.12 : x
  2. Step 2: Convert to fraction form
    3,575.68/5,363.52 = 1,267.12/x
  3. Step 3: Cross multiply
    3,575.68x = 5,363.52 × 1,267.12
  4. Step 4: Simplify right side
    3,575.68x = 6,796,223.46
  5. Step 5: Solve for x
    x = 6,796,223.46/3,575.68
  6. Step 6: Final answer
    x = 1,900.68

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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.