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Finding the Fourth Proportional to 4,655.82, 6,424.80 and 2,560.02

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Solution

The fourth proportional to 4,655.82, 6,424.80 and 2,560.02 is: 3,532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.82 : 6,424.80 = 2,560.02 : x
  2. Step 2: Convert to fraction form
    4,655.82/6,424.80 = 2,560.02/x
  3. Step 3: Cross multiply
    4,655.82x = 6,424.80 × 2,560.02
  4. Step 4: Simplify right side
    4,655.82x = 16,447,616.50
  5. Step 5: Solve for x
    x = 16,447,616.50/4,655.82
  6. Step 6: Final answer
    x = 3,532.70

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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.