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Finding the Fourth Proportional to 4,590.09, 6,334.16 and 2,494.17

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Solution

The fourth proportional to 4,590.09, 6,334.16 and 2,494.17 is: 3,441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.09 : 6,334.16 = 2,494.17 : x
  2. Step 2: Convert to fraction form
    4,590.09/6,334.16 = 2,494.17/x
  3. Step 3: Cross multiply
    4,590.09x = 6,334.16 × 2,494.17
  4. Step 4: Simplify right side
    4,590.09x = 15,798,459.38
  5. Step 5: Solve for x
    x = 15,798,459.38/4,590.09
  6. Step 6: Final answer
    x = 3,441.86

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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.