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Finding the Fourth Proportional to 4,254.64, 6,386.44 and 3,024.40

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Solution

The fourth proportional to 4,254.64, 6,386.44 and 3,024.40 is: 4,539.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.64 : 6,386.44 = 3,024.40 : x
  2. Step 2: Convert to fraction form
    4,254.64/6,386.44 = 3,024.40/x
  3. Step 3: Cross multiply
    4,254.64x = 6,386.44 × 3,024.40
  4. Step 4: Simplify right side
    4,254.64x = 19,315,149.14
  5. Step 5: Solve for x
    x = 19,315,149.14/4,254.64
  6. Step 6: Final answer
    x = 4,539.78

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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.