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Finding the Fourth Proportional to 5,506.57, 8,263.90 and 3,657.07

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Solution

The fourth proportional to 5,506.57, 8,263.90 and 3,657.07 is: 5,488.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.57 : 8,263.90 = 3,657.07 : x
  2. Step 2: Convert to fraction form
    5,506.57/8,263.90 = 3,657.07/x
  3. Step 3: Cross multiply
    5,506.57x = 8,263.90 × 3,657.07
  4. Step 4: Simplify right side
    5,506.57x = 30,221,619.45
  5. Step 5: Solve for x
    x = 30,221,619.45/5,506.57
  6. Step 6: Final answer
    x = 5,488.29

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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.