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Finding the Fourth Proportional to 4,364.08, 6,542 and 2,024.32

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Solution

The fourth proportional to 4,364.08, 6,542 and 2,024.32 is: 3,034.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364.08 : 6,542 = 2,024.32 : x
  2. Step 2: Convert to fraction form
    4,364.08/6,542 = 2,024.32/x
  3. Step 3: Cross multiply
    4,364.08x = 6,542 × 2,024.32
  4. Step 4: Simplify right side
    4,364.08x = 13,243,101.44
  5. Step 5: Solve for x
    x = 13,243,101.44/4,364.08
  6. Step 6: Final answer
    x = 3,034.57

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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.