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Finding the Fourth Proportional to 5,291.40, 7,898.01 and 4,963.08

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Solution

The fourth proportional to 5,291.40, 7,898.01 and 4,963.08 is: 7,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.40 : 7,898.01 = 4,963.08 : x
  2. Step 2: Convert to fraction form
    5,291.40/7,898.01 = 4,963.08/x
  3. Step 3: Cross multiply
    5,291.40x = 7,898.01 × 4,963.08
  4. Step 4: Simplify right side
    5,291.40x = 39,198,455.47
  5. Step 5: Solve for x
    x = 39,198,455.47/5,291.40
  6. Step 6: Final answer
    x = 7,407.96

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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.