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Finding the Fourth Proportional to 3,570.48, 5,356.23 and 1,105.53

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Solution

The fourth proportional to 3,570.48, 5,356.23 and 1,105.53 is: 1,658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.48 : 5,356.23 = 1,105.53 : x
  2. Step 2: Convert to fraction form
    3,570.48/5,356.23 = 1,105.53/x
  3. Step 3: Cross multiply
    3,570.48x = 5,356.23 × 1,105.53
  4. Step 4: Simplify right side
    3,570.48x = 5,921,472.95
  5. Step 5: Solve for x
    x = 5,921,472.95/3,570.48
  6. Step 6: Final answer
    x = 1,658.45

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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.