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Finding the Fourth Proportional to 4,145.31, 6,218.55 and 1,548

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Solution

The fourth proportional to 4,145.31, 6,218.55 and 1,548 is: 2,322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.31 : 6,218.55 = 1,548 : x
  2. Step 2: Convert to fraction form
    4,145.31/6,218.55 = 1,548/x
  3. Step 3: Cross multiply
    4,145.31x = 6,218.55 × 1,548
  4. Step 4: Simplify right side
    4,145.31x = 9,626,315.40
  5. Step 5: Solve for x
    x = 9,626,315.40/4,145.31
  6. Step 6: Final answer
    x = 2,322.22

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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.