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Finding the Fourth Proportional to 4,328.64, 5,974.02 and 2,560.86

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Solution

The fourth proportional to 4,328.64, 5,974.02 and 2,560.86 is: 3,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.64 : 5,974.02 = 2,560.86 : x
  2. Step 2: Convert to fraction form
    4,328.64/5,974.02 = 2,560.86/x
  3. Step 3: Cross multiply
    4,328.64x = 5,974.02 × 2,560.86
  4. Step 4: Simplify right side
    4,328.64x = 15,298,628.86
  5. Step 5: Solve for x
    x = 15,298,628.86/4,328.64
  6. Step 6: Final answer
    x = 3,534.28

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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.