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Finding the Fourth Proportional to 5,291.84, 7,963.16 and 4,361.48

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Solution

The fourth proportional to 5,291.84, 7,963.16 and 4,361.48 is: 6,563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.84 : 7,963.16 = 4,361.48 : x
  2. Step 2: Convert to fraction form
    5,291.84/7,963.16 = 4,361.48/x
  3. Step 3: Cross multiply
    5,291.84x = 7,963.16 × 4,361.48
  4. Step 4: Simplify right side
    5,291.84x = 34,731,101.45
  5. Step 5: Solve for x
    x = 34,731,101.45/5,291.84
  6. Step 6: Final answer
    x = 6,563.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.