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Finding the Fourth Proportional to 4,708.86, 6,498.45 and 2,613

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Solution

The fourth proportional to 4,708.86, 6,498.45 and 2,613 is: 3,606.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708.86 : 6,498.45 = 2,613 : x
  2. Step 2: Convert to fraction form
    4,708.86/6,498.45 = 2,613/x
  3. Step 3: Cross multiply
    4,708.86x = 6,498.45 × 2,613
  4. Step 4: Simplify right side
    4,708.86x = 16,980,449.85
  5. Step 5: Solve for x
    x = 16,980,449.85/4,708.86
  6. Step 6: Final answer
    x = 3,606.06

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Why These Related Problems?

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