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Finding the Fourth Proportional to 5,881.86, 8,113.91 and 4,764.06

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Solution

The fourth proportional to 5,881.86, 8,113.91 and 4,764.06 is: 6,571.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.86 : 8,113.91 = 4,764.06 : x
  2. Step 2: Convert to fraction form
    5,881.86/8,113.91 = 4,764.06/x
  3. Step 3: Cross multiply
    5,881.86x = 8,113.91 × 4,764.06
  4. Step 4: Simplify right side
    5,881.86x = 38,655,130.25
  5. Step 5: Solve for x
    x = 38,655,130.25/5,881.86
  6. Step 6: Final answer
    x = 6,571.92

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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.