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Finding the Fourth Proportional to 5,777.45, 7,971.02 and 4,562.28

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Solution

The fourth proportional to 5,777.45, 7,971.02 and 4,562.28 is: 6,294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.45 : 7,971.02 = 4,562.28 : x
  2. Step 2: Convert to fraction form
    5,777.45/7,971.02 = 4,562.28/x
  3. Step 3: Cross multiply
    5,777.45x = 7,971.02 × 4,562.28
  4. Step 4: Simplify right side
    5,777.45x = 36,366,006.64
  5. Step 5: Solve for x
    x = 36,366,006.64/5,777.45
  6. Step 6: Final answer
    x = 6,294.47

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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.