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Finding the Fourth Proportional to 5,478.50, 7,555.92 and 3,488.42

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Solution

The fourth proportional to 5,478.50, 7,555.92 and 3,488.42 is: 4,811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.50 : 7,555.92 = 3,488.42 : x
  2. Step 2: Convert to fraction form
    5,478.50/7,555.92 = 3,488.42/x
  3. Step 3: Cross multiply
    5,478.50x = 7,555.92 × 3,488.42
  4. Step 4: Simplify right side
    5,478.50x = 26,358,222.45
  5. Step 5: Solve for x
    x = 26,358,222.45/5,478.50
  6. Step 6: Final answer
    x = 4,811.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.