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Finding the Fourth Proportional to 5,763.29, 7,949.48 and 4,656.15

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Solution

The fourth proportional to 5,763.29, 7,949.48 and 4,656.15 is: 6,422.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.29 : 7,949.48 = 4,656.15 : x
  2. Step 2: Convert to fraction form
    5,763.29/7,949.48 = 4,656.15/x
  3. Step 3: Cross multiply
    5,763.29x = 7,949.48 × 4,656.15
  4. Step 4: Simplify right side
    5,763.29x = 37,013,948.02
  5. Step 5: Solve for x
    x = 37,013,948.02/5,763.29
  6. Step 6: Final answer
    x = 6,422.37

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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.