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Finding the Fourth Proportional to 4,145.88, 6,219.10 and 1,548.76

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Solution

The fourth proportional to 4,145.88, 6,219.10 and 1,548.76 is: 2,323.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.88 : 6,219.10 = 1,548.76 : x
  2. Step 2: Convert to fraction form
    4,145.88/6,219.10 = 1,548.76/x
  3. Step 3: Cross multiply
    4,145.88x = 6,219.10 × 1,548.76
  4. Step 4: Simplify right side
    4,145.88x = 9,631,893.32
  5. Step 5: Solve for x
    x = 9,631,893.32/4,145.88
  6. Step 6: Final answer
    x = 2,323.24

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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.