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Finding the Fourth Proportional to 4,478.68, 6,718.50 and 2,534.68

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Solution

The fourth proportional to 4,478.68, 6,718.50 and 2,534.68 is: 3,802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.68 : 6,718.50 = 2,534.68 : x
  2. Step 2: Convert to fraction form
    4,478.68/6,718.50 = 2,534.68/x
  3. Step 3: Cross multiply
    4,478.68x = 6,718.50 × 2,534.68
  4. Step 4: Simplify right side
    4,478.68x = 17,029,247.58
  5. Step 5: Solve for x
    x = 17,029,247.58/4,478.68
  6. Step 6: Final answer
    x = 3,802.29

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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.