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Finding the Fourth Proportional to 4,685.46, 6,465.82 and 2,561

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Solution

The fourth proportional to 4,685.46, 6,465.82 and 2,561 is: 3,534.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.46 : 6,465.82 = 2,561 : x
  2. Step 2: Convert to fraction form
    4,685.46/6,465.82 = 2,561/x
  3. Step 3: Cross multiply
    4,685.46x = 6,465.82 × 2,561
  4. Step 4: Simplify right side
    4,685.46x = 16,558,965.02
  5. Step 5: Solve for x
    x = 16,558,965.02/4,685.46
  6. Step 6: Final answer
    x = 3,534.12

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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.