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Finding the Fourth Proportional to 5,169.61, 7,746.72 and 2,246.32

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Solution

The fourth proportional to 5,169.61, 7,746.72 and 2,246.32 is: 3,366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.61 : 7,746.72 = 2,246.32 : x
  2. Step 2: Convert to fraction form
    5,169.61/7,746.72 = 2,246.32/x
  3. Step 3: Cross multiply
    5,169.61x = 7,746.72 × 2,246.32
  4. Step 4: Simplify right side
    5,169.61x = 17,401,612.07
  5. Step 5: Solve for x
    x = 17,401,612.07/5,169.61
  6. Step 6: Final answer
    x = 3,366.14

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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.