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Finding the Fourth Proportional to 4,280.96, 5,905.95 and 2,602.10

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Solution

The fourth proportional to 4,280.96, 5,905.95 and 2,602.10 is: 3,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,280.96 : 5,905.95 = 2,602.10 : x
  2. Step 2: Convert to fraction form
    4,280.96/5,905.95 = 2,602.10/x
  3. Step 3: Cross multiply
    4,280.96x = 5,905.95 × 2,602.10
  4. Step 4: Simplify right side
    4,280.96x = 15,367,872.50
  5. Step 5: Solve for x
    x = 15,367,872.50/4,280.96
  6. Step 6: Final answer
    x = 3,589.82

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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.