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Finding the Fourth Proportional to 3,077.86, 4,613.12 and 2,345.16

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Solution

The fourth proportional to 3,077.86, 4,613.12 and 2,345.16 is: 3,514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.86 : 4,613.12 = 2,345.16 : x
  2. Step 2: Convert to fraction form
    3,077.86/4,613.12 = 2,345.16/x
  3. Step 3: Cross multiply
    3,077.86x = 4,613.12 × 2,345.16
  4. Step 4: Simplify right side
    3,077.86x = 10,818,504.50
  5. Step 5: Solve for x
    x = 10,818,504.50/3,077.86
  6. Step 6: Final answer
    x = 3,514.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.