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Finding the Fourth Proportional to 4,465.26, 6,698.64 and 1,542.78

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Solution

The fourth proportional to 4,465.26, 6,698.64 and 1,542.78 is: 2,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.26 : 6,698.64 = 1,542.78 : x
  2. Step 2: Convert to fraction form
    4,465.26/6,698.64 = 1,542.78/x
  3. Step 3: Cross multiply
    4,465.26x = 6,698.64 × 1,542.78
  4. Step 4: Simplify right side
    4,465.26x = 10,334,527.82
  5. Step 5: Solve for x
    x = 10,334,527.82/4,465.26
  6. Step 6: Final answer
    x = 2,314.43

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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.