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Finding the Fourth Proportional to 6,061.77, 8,365.32 and 4,546.66

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Solution

The fourth proportional to 6,061.77, 8,365.32 and 4,546.66 is: 6,274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.77 : 8,365.32 = 4,546.66 : x
  2. Step 2: Convert to fraction form
    6,061.77/8,365.32 = 4,546.66/x
  3. Step 3: Cross multiply
    6,061.77x = 8,365.32 × 4,546.66
  4. Step 4: Simplify right side
    6,061.77x = 38,034,265.83
  5. Step 5: Solve for x
    x = 38,034,265.83/6,061.77
  6. Step 6: Final answer
    x = 6,274.45

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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.