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Finding the Fourth Proportional to 4,898.52, 7,306.43 and 4,159.80

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Solution

The fourth proportional to 4,898.52, 7,306.43 and 4,159.80 is: 6,204.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,898.52 : 7,306.43 = 4,159.80 : x
  2. Step 2: Convert to fraction form
    4,898.52/7,306.43 = 4,159.80/x
  3. Step 3: Cross multiply
    4,898.52x = 7,306.43 × 4,159.80
  4. Step 4: Simplify right side
    4,898.52x = 30,393,266.72
  5. Step 5: Solve for x
    x = 30,393,266.72/4,898.52
  6. Step 6: Final answer
    x = 6,204.58

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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.