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Finding the Fourth Proportional to 5,746.83, 8,578.25 and 5,324.28

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Solution

The fourth proportional to 5,746.83, 8,578.25 and 5,324.28 is: 7,947.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.83 : 8,578.25 = 5,324.28 : x
  2. Step 2: Convert to fraction form
    5,746.83/8,578.25 = 5,324.28/x
  3. Step 3: Cross multiply
    5,746.83x = 8,578.25 × 5,324.28
  4. Step 4: Simplify right side
    5,746.83x = 45,672,978.29
  5. Step 5: Solve for x
    x = 45,672,978.29/5,746.83
  6. Step 6: Final answer
    x = 7,947.51

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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.