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Finding the Fourth Proportional to 4,291.77, 5,922.68 and 2,428.77

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Solution

The fourth proportional to 4,291.77, 5,922.68 and 2,428.77 is: 3,351.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.77 : 5,922.68 = 2,428.77 : x
  2. Step 2: Convert to fraction form
    4,291.77/5,922.68 = 2,428.77/x
  3. Step 3: Cross multiply
    4,291.77x = 5,922.68 × 2,428.77
  4. Step 4: Simplify right side
    4,291.77x = 14,384,827.50
  5. Step 5: Solve for x
    x = 14,384,827.50/4,291.77
  6. Step 6: Final answer
    x = 3,351.72

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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.