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Finding the Fourth Proportional to 5,870.57, 8,101.76 and 3,877.63

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Solution

The fourth proportional to 5,870.57, 8,101.76 and 3,877.63 is: 5,351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.57 : 8,101.76 = 3,877.63 : x
  2. Step 2: Convert to fraction form
    5,870.57/8,101.76 = 3,877.63/x
  3. Step 3: Cross multiply
    5,870.57x = 8,101.76 × 3,877.63
  4. Step 4: Simplify right side
    5,870.57x = 31,415,627.63
  5. Step 5: Solve for x
    x = 31,415,627.63/5,870.57
  6. Step 6: Final answer
    x = 5,351.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.