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Finding the Fourth Proportional to 5,629.74, 7,759.72 and 4,230.06

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Solution

The fourth proportional to 5,629.74, 7,759.72 and 4,230.06 is: 5,830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.74 : 7,759.72 = 4,230.06 : x
  2. Step 2: Convert to fraction form
    5,629.74/7,759.72 = 4,230.06/x
  3. Step 3: Cross multiply
    5,629.74x = 7,759.72 × 4,230.06
  4. Step 4: Simplify right side
    5,629.74x = 32,824,081.18
  5. Step 5: Solve for x
    x = 32,824,081.18/5,629.74
  6. Step 6: Final answer
    x = 5,830.48

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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.