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Finding the Fourth Proportional to 4,394.86, 6,064.65 and 2,506.19

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Solution

The fourth proportional to 4,394.86, 6,064.65 and 2,506.19 is: 3,458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,394.86 : 6,064.65 = 2,506.19 : x
  2. Step 2: Convert to fraction form
    4,394.86/6,064.65 = 2,506.19/x
  3. Step 3: Cross multiply
    4,394.86x = 6,064.65 × 2,506.19
  4. Step 4: Simplify right side
    4,394.86x = 15,199,134.86
  5. Step 5: Solve for x
    x = 15,199,134.86/4,394.86
  6. Step 6: Final answer
    x = 3,458.39

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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.