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Finding the Fourth Proportional to 4,656.84, 6,426.18 and 2,561

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Solution

The fourth proportional to 4,656.84, 6,426.18 and 2,561 is: 3,534.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.84 : 6,426.18 = 2,561 : x
  2. Step 2: Convert to fraction form
    4,656.84/6,426.18 = 2,561/x
  3. Step 3: Cross multiply
    4,656.84x = 6,426.18 × 2,561
  4. Step 4: Simplify right side
    4,656.84x = 16,457,446.98
  5. Step 5: Solve for x
    x = 16,457,446.98/4,656.84
  6. Step 6: Final answer
    x = 3,534.04

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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.