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Finding the Fourth Proportional to 5,532.98, 7,641.70 and 4,289.06

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Solution

The fourth proportional to 5,532.98, 7,641.70 and 4,289.06 is: 5,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,532.98 : 7,641.70 = 4,289.06 : x
  2. Step 2: Convert to fraction form
    5,532.98/7,641.70 = 4,289.06/x
  3. Step 3: Cross multiply
    5,532.98x = 7,641.70 × 4,289.06
  4. Step 4: Simplify right side
    5,532.98x = 32,775,718.18
  5. Step 5: Solve for x
    x = 32,775,718.18/5,532.98
  6. Step 6: Final answer
    x = 5,923.71

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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.