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Finding the Fourth Proportional to 4,144.86, 5,720.32 and 3,095.10

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Solution

The fourth proportional to 4,144.86, 5,720.32 and 3,095.10 is: 4,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.86 : 5,720.32 = 3,095.10 : x
  2. Step 2: Convert to fraction form
    4,144.86/5,720.32 = 3,095.10/x
  3. Step 3: Cross multiply
    4,144.86x = 5,720.32 × 3,095.10
  4. Step 4: Simplify right side
    4,144.86x = 17,704,962.43
  5. Step 5: Solve for x
    x = 17,704,962.43/4,144.86
  6. Step 6: Final answer
    x = 4,271.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.