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Finding the Fourth Proportional to 4,106.68, 6,162.58 and 2,378.68

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Solution

The fourth proportional to 4,106.68, 6,162.58 and 2,378.68 is: 3,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.68 : 6,162.58 = 2,378.68 : x
  2. Step 2: Convert to fraction form
    4,106.68/6,162.58 = 2,378.68/x
  3. Step 3: Cross multiply
    4,106.68x = 6,162.58 × 2,378.68
  4. Step 4: Simplify right side
    4,106.68x = 14,658,805.79
  5. Step 5: Solve for x
    x = 14,658,805.79/4,106.68
  6. Step 6: Final answer
    x = 3,569.50

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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.