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Finding the Fourth Proportional to 5,047.74, 7,569.45 and 1,759.86

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Solution

The fourth proportional to 5,047.74, 7,569.45 and 1,759.86 is: 2,639.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.74 : 7,569.45 = 1,759.86 : x
  2. Step 2: Convert to fraction form
    5,047.74/7,569.45 = 1,759.86/x
  3. Step 3: Cross multiply
    5,047.74x = 7,569.45 × 1,759.86
  4. Step 4: Simplify right side
    5,047.74x = 13,321,172.28
  5. Step 5: Solve for x
    x = 13,321,172.28/5,047.74
  6. Step 6: Final answer
    x = 2,639.04

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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.