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Finding the Fourth Proportional to 6,338.40, 8,746.80 and 3,543.84

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Solution

The fourth proportional to 6,338.40, 8,746.80 and 3,543.84 is: 4,890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.40 : 8,746.80 = 3,543.84 : x
  2. Step 2: Convert to fraction form
    6,338.40/8,746.80 = 3,543.84/x
  3. Step 3: Cross multiply
    6,338.40x = 8,746.80 × 3,543.84
  4. Step 4: Simplify right side
    6,338.40x = 30,997,259.71
  5. Step 5: Solve for x
    x = 30,997,259.71/6,338.40
  6. Step 6: Final answer
    x = 4,890.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.