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Finding the Fourth Proportional to 5,264.36, 7,895.20 and 1,565.76

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Solution

The fourth proportional to 5,264.36, 7,895.20 and 1,565.76 is: 2,348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.36 : 7,895.20 = 1,565.76 : x
  2. Step 2: Convert to fraction form
    5,264.36/7,895.20 = 1,565.76/x
  3. Step 3: Cross multiply
    5,264.36x = 7,895.20 × 1,565.76
  4. Step 4: Simplify right side
    5,264.36x = 12,361,988.35
  5. Step 5: Solve for x
    x = 12,361,988.35/5,264.36
  6. Step 6: Final answer
    x = 2,348.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.