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Finding the Fourth Proportional to 5,755.95, 7,948.19 and 5,460.71

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Solution

The fourth proportional to 5,755.95, 7,948.19 and 5,460.71 is: 7,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.95 : 7,948.19 = 5,460.71 : x
  2. Step 2: Convert to fraction form
    5,755.95/7,948.19 = 5,460.71/x
  3. Step 3: Cross multiply
    5,755.95x = 7,948.19 × 5,460.71
  4. Step 4: Simplify right side
    5,755.95x = 43,402,734.53
  5. Step 5: Solve for x
    x = 43,402,734.53/5,755.95
  6. Step 6: Final answer
    x = 7,540.50

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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.