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Finding the Fourth Proportional to 4,265, 5,885.76 and 2,402

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Solution

The fourth proportional to 4,265, 5,885.76 and 2,402 is: 3,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,265 : 5,885.76 = 2,402 : x
  2. Step 2: Convert to fraction form
    4,265/5,885.76 = 2,402/x
  3. Step 3: Cross multiply
    4,265x = 5,885.76 × 2,402
  4. Step 4: Simplify right side
    4,265x = 14,137,595.52
  5. Step 5: Solve for x
    x = 14,137,595.52/4,265
  6. Step 6: Final answer
    x = 3,314.79

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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.