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Finding the Fourth Proportional to 4,920.92, 7,394.16 and 3,699.86

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Solution

The fourth proportional to 4,920.92, 7,394.16 and 3,699.86 is: 5,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.92 : 7,394.16 = 3,699.86 : x
  2. Step 2: Convert to fraction form
    4,920.92/7,394.16 = 3,699.86/x
  3. Step 3: Cross multiply
    4,920.92x = 7,394.16 × 3,699.86
  4. Step 4: Simplify right side
    4,920.92x = 27,357,356.82
  5. Step 5: Solve for x
    x = 27,357,356.82/4,920.92
  6. Step 6: Final answer
    x = 5,559.40

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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.