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Finding the Fourth Proportional to 4,559.17, 6,842 and 1,637.91

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Solution

The fourth proportional to 4,559.17, 6,842 and 1,637.91 is: 2,458.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,559.17 : 6,842 = 1,637.91 : x
  2. Step 2: Convert to fraction form
    4,559.17/6,842 = 1,637.91/x
  3. Step 3: Cross multiply
    4,559.17x = 6,842 × 1,637.91
  4. Step 4: Simplify right side
    4,559.17x = 11,206,580.22
  5. Step 5: Solve for x
    x = 11,206,580.22/4,559.17
  6. Step 6: Final answer
    x = 2,458.03

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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.