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Finding the Fourth Proportional to 3,890.48, 5,836.55 and 1,117.13

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Solution

The fourth proportional to 3,890.48, 5,836.55 and 1,117.13 is: 1,675.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.48 : 5,836.55 = 1,117.13 : x
  2. Step 2: Convert to fraction form
    3,890.48/5,836.55 = 1,117.13/x
  3. Step 3: Cross multiply
    3,890.48x = 5,836.55 × 1,117.13
  4. Step 4: Simplify right side
    3,890.48x = 6,520,150.33
  5. Step 5: Solve for x
    x = 6,520,150.33/3,890.48
  6. Step 6: Final answer
    x = 1,675.93

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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.