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Finding the Fourth Proportional to 3,645.39, 5,468.28 and 1,048.53

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Solution

The fourth proportional to 3,645.39, 5,468.28 and 1,048.53 is: 1,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.39 : 5,468.28 = 1,048.53 : x
  2. Step 2: Convert to fraction form
    3,645.39/5,468.28 = 1,048.53/x
  3. Step 3: Cross multiply
    3,645.39x = 5,468.28 × 1,048.53
  4. Step 4: Simplify right side
    3,645.39x = 5,733,655.63
  5. Step 5: Solve for x
    x = 5,733,655.63/3,645.39
  6. Step 6: Final answer
    x = 1,572.85

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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.