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Finding the Fourth Proportional to 5,948.53, 8,204.35 and 4,061.63

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Solution

The fourth proportional to 5,948.53, 8,204.35 and 4,061.63 is: 5,601.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.53 : 8,204.35 = 4,061.63 : x
  2. Step 2: Convert to fraction form
    5,948.53/8,204.35 = 4,061.63/x
  3. Step 3: Cross multiply
    5,948.53x = 8,204.35 × 4,061.63
  4. Step 4: Simplify right side
    5,948.53x = 33,323,034.09
  5. Step 5: Solve for x
    x = 33,323,034.09/5,948.53
  6. Step 6: Final answer
    x = 5,601.89

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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.