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Finding the Fourth Proportional to 5,657.74, 7,807.47 and 3,173.58

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Solution

The fourth proportional to 5,657.74, 7,807.47 and 3,173.58 is: 4,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.74 : 7,807.47 = 3,173.58 : x
  2. Step 2: Convert to fraction form
    5,657.74/7,807.47 = 3,173.58/x
  3. Step 3: Cross multiply
    5,657.74x = 7,807.47 × 3,173.58
  4. Step 4: Simplify right side
    5,657.74x = 24,777,630.64
  5. Step 5: Solve for x
    x = 24,777,630.64/5,657.74
  6. Step 6: Final answer
    x = 4,379.42

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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.