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Finding the Fourth Proportional to 5,735.80, 8,557.79 and 5,112.10

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Solution

The fourth proportional to 5,735.80, 8,557.79 and 5,112.10 is: 7,627.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.80 : 8,557.79 = 5,112.10 : x
  2. Step 2: Convert to fraction form
    5,735.80/8,557.79 = 5,112.10/x
  3. Step 3: Cross multiply
    5,735.80x = 8,557.79 × 5,112.10
  4. Step 4: Simplify right side
    5,735.80x = 43,748,278.26
  5. Step 5: Solve for x
    x = 43,748,278.26/5,735.80
  6. Step 6: Final answer
    x = 7,627.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.