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Finding the Fourth Proportional to 4,968.35, 7,454.40 and 3,117.40

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Solution

The fourth proportional to 4,968.35, 7,454.40 and 3,117.40 is: 4,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.35 : 7,454.40 = 3,117.40 : x
  2. Step 2: Convert to fraction form
    4,968.35/7,454.40 = 3,117.40/x
  3. Step 3: Cross multiply
    4,968.35x = 7,454.40 × 3,117.40
  4. Step 4: Simplify right side
    4,968.35x = 23,238,346.56
  5. Step 5: Solve for x
    x = 23,238,346.56/4,968.35
  6. Step 6: Final answer
    x = 4,677.28

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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.