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Finding the Fourth Proportional to 5,756.95, 7,949.58 and 5,461.71

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Solution

The fourth proportional to 5,756.95, 7,949.58 and 5,461.71 is: 7,541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.95 : 7,949.58 = 5,461.71 : x
  2. Step 2: Convert to fraction form
    5,756.95/7,949.58 = 5,461.71/x
  3. Step 3: Cross multiply
    5,756.95x = 7,949.58 × 5,461.71
  4. Step 4: Simplify right side
    5,756.95x = 43,418,233.53
  5. Step 5: Solve for x
    x = 43,418,233.53/5,756.95
  6. Step 6: Final answer
    x = 7,541.88

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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.