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Finding the Fourth Proportional to 4,655.89, 6,983.10 and 1,881.85

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Solution

The fourth proportional to 4,655.89, 6,983.10 and 1,881.85 is: 2,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.89 : 6,983.10 = 1,881.85 : x
  2. Step 2: Convert to fraction form
    4,655.89/6,983.10 = 1,881.85/x
  3. Step 3: Cross multiply
    4,655.89x = 6,983.10 × 1,881.85
  4. Step 4: Simplify right side
    4,655.89x = 13,141,146.74
  5. Step 5: Solve for x
    x = 13,141,146.74/4,655.89
  6. Step 6: Final answer
    x = 2,822.48

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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.