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Finding the Fourth Proportional to 3,154.95, 4,350.24 and 2,586

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Solution

The fourth proportional to 3,154.95, 4,350.24 and 2,586 is: 3,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.95 : 4,350.24 = 2,586 : x
  2. Step 2: Convert to fraction form
    3,154.95/4,350.24 = 2,586/x
  3. Step 3: Cross multiply
    3,154.95x = 4,350.24 × 2,586
  4. Step 4: Simplify right side
    3,154.95x = 11,249,720.64
  5. Step 5: Solve for x
    x = 11,249,720.64/3,154.95
  6. Step 6: Final answer
    x = 3,565.74

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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.