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Finding the Fourth Proportional to 3,875.76, 5,347.76 and 2,304.24

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Solution

The fourth proportional to 3,875.76, 5,347.76 and 2,304.24 is: 3,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.76 : 5,347.76 = 2,304.24 : x
  2. Step 2: Convert to fraction form
    3,875.76/5,347.76 = 2,304.24/x
  3. Step 3: Cross multiply
    3,875.76x = 5,347.76 × 2,304.24
  4. Step 4: Simplify right side
    3,875.76x = 12,322,522.50
  5. Step 5: Solve for x
    x = 12,322,522.50/3,875.76
  6. Step 6: Final answer
    x = 3,179.38

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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.