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Finding the Fourth Proportional to 5,726.79, 8,629.19 and 4,709.57

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Solution

The fourth proportional to 5,726.79, 8,629.19 and 4,709.57 is: 7,096.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.79 : 8,629.19 = 4,709.57 : x
  2. Step 2: Convert to fraction form
    5,726.79/8,629.19 = 4,709.57/x
  3. Step 3: Cross multiply
    5,726.79x = 8,629.19 × 4,709.57
  4. Step 4: Simplify right side
    5,726.79x = 40,639,807.70
  5. Step 5: Solve for x
    x = 40,639,807.70/5,726.79
  6. Step 6: Final answer
    x = 7,096.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.