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Finding the Fourth Proportional to 3,955.77, 5,459.16 and 2,277.42

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Solution

The fourth proportional to 3,955.77, 5,459.16 and 2,277.42 is: 3,142.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955.77 : 5,459.16 = 2,277.42 : x
  2. Step 2: Convert to fraction form
    3,955.77/5,459.16 = 2,277.42/x
  3. Step 3: Cross multiply
    3,955.77x = 5,459.16 × 2,277.42
  4. Step 4: Simplify right side
    3,955.77x = 12,432,779.70
  5. Step 5: Solve for x
    x = 12,432,779.70/3,955.77
  6. Step 6: Final answer
    x = 3,142.95

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1.5x scale

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.