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Finding the Fourth Proportional to 4,367.99, 6,547.70 and 1,734.62

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Solution

The fourth proportional to 4,367.99, 6,547.70 and 1,734.62 is: 2,600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,367.99 : 6,547.70 = 1,734.62 : x
  2. Step 2: Convert to fraction form
    4,367.99/6,547.70 = 1,734.62/x
  3. Step 3: Cross multiply
    4,367.99x = 6,547.70 × 1,734.62
  4. Step 4: Simplify right side
    4,367.99x = 11,357,742.97
  5. Step 5: Solve for x
    x = 11,357,742.97/4,367.99
  6. Step 6: Final answer
    x = 2,600.22

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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.