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Finding the Fourth Proportional to 5,773.28, 7,969.95 and 4,354.76

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Solution

The fourth proportional to 5,773.28, 7,969.95 and 4,354.76 is: 6,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.28 : 7,969.95 = 4,354.76 : x
  2. Step 2: Convert to fraction form
    5,773.28/7,969.95 = 4,354.76/x
  3. Step 3: Cross multiply
    5,773.28x = 7,969.95 × 4,354.76
  4. Step 4: Simplify right side
    5,773.28x = 34,707,219.46
  5. Step 5: Solve for x
    x = 34,707,219.46/5,773.28
  6. Step 6: Final answer
    x = 6,011.70

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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.