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Finding the Fourth Proportional to 5,764.48, 7,954.56 and 3,406.18

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Solution

The fourth proportional to 5,764.48, 7,954.56 and 3,406.18 is: 4,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.48 : 7,954.56 = 3,406.18 : x
  2. Step 2: Convert to fraction form
    5,764.48/7,954.56 = 3,406.18/x
  3. Step 3: Cross multiply
    5,764.48x = 7,954.56 × 3,406.18
  4. Step 4: Simplify right side
    5,764.48x = 27,094,663.18
  5. Step 5: Solve for x
    x = 27,094,663.18/5,764.48
  6. Step 6: Final answer
    x = 4,700.28

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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.