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Finding the Fourth Proportional to 5,480.54, 7,569.26 and 3,709.07

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Solution

The fourth proportional to 5,480.54, 7,569.26 and 3,709.07 is: 5,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.54 : 7,569.26 = 3,709.07 : x
  2. Step 2: Convert to fraction form
    5,480.54/7,569.26 = 3,709.07/x
  3. Step 3: Cross multiply
    5,480.54x = 7,569.26 × 3,709.07
  4. Step 4: Simplify right side
    5,480.54x = 28,074,886.61
  5. Step 5: Solve for x
    x = 28,074,886.61/5,480.54
  6. Step 6: Final answer
    x = 5,122.65

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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.