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Finding the Fourth Proportional to 4,657.58, 6,973.92 and 3,919.46

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Solution

The fourth proportional to 4,657.58, 6,973.92 and 3,919.46 is: 5,868.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.58 : 6,973.92 = 3,919.46 : x
  2. Step 2: Convert to fraction form
    4,657.58/6,973.92 = 3,919.46/x
  3. Step 3: Cross multiply
    4,657.58x = 6,973.92 × 3,919.46
  4. Step 4: Simplify right side
    4,657.58x = 27,334,000.48
  5. Step 5: Solve for x
    x = 27,334,000.48/4,657.58
  6. Step 6: Final answer
    x = 5,868.71

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