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Finding the Fourth Proportional to 5,531.50, 7,633.47 and 3,047.50

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Solution

The fourth proportional to 5,531.50, 7,633.47 and 3,047.50 is: 4,205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.50 : 7,633.47 = 3,047.50 : x
  2. Step 2: Convert to fraction form
    5,531.50/7,633.47 = 3,047.50/x
  3. Step 3: Cross multiply
    5,531.50x = 7,633.47 × 3,047.50
  4. Step 4: Simplify right side
    5,531.50x = 23,262,999.83
  5. Step 5: Solve for x
    x = 23,262,999.83/5,531.50
  6. Step 6: Final answer
    x = 4,205.55

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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.