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Finding the Fourth Proportional to 4,656.68, 6,426.36 and 2,560.88

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Solution

The fourth proportional to 4,656.68, 6,426.36 and 2,560.88 is: 3,534.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.68 : 6,426.36 = 2,560.88 : x
  2. Step 2: Convert to fraction form
    4,656.68/6,426.36 = 2,560.88/x
  3. Step 3: Cross multiply
    4,656.68x = 6,426.36 × 2,560.88
  4. Step 4: Simplify right side
    4,656.68x = 16,457,136.80
  5. Step 5: Solve for x
    x = 16,457,136.80/4,656.68
  6. Step 6: Final answer
    x = 3,534.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.