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Finding the Fourth Proportional to 5,538.80, 8,264.80 and 5,506.40

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Solution

The fourth proportional to 5,538.80, 8,264.80 and 5,506.40 is: 8,216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.80 : 8,264.80 = 5,506.40 : x
  2. Step 2: Convert to fraction form
    5,538.80/8,264.80 = 5,506.40/x
  3. Step 3: Cross multiply
    5,538.80x = 8,264.80 × 5,506.40
  4. Step 4: Simplify right side
    5,538.80x = 45,509,294.72
  5. Step 5: Solve for x
    x = 45,509,294.72/5,538.80
  6. Step 6: Final answer
    x = 8,216.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.