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Finding the Fourth Proportional to 5,700, 8,542.98 and 4,047.60

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Solution

The fourth proportional to 5,700, 8,542.98 and 4,047.60 is: 6,066.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700 : 8,542.98 = 4,047.60 : x
  2. Step 2: Convert to fraction form
    5,700/8,542.98 = 4,047.60/x
  3. Step 3: Cross multiply
    5,700x = 8,542.98 × 4,047.60
  4. Step 4: Simplify right side
    5,700x = 34,578,565.85
  5. Step 5: Solve for x
    x = 34,578,565.85/5,700
  6. Step 6: Final answer
    x = 6,066.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.