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Finding the Fourth Proportional to 4,968.54, 7,454.52 and 3,117.51

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Solution

The fourth proportional to 4,968.54, 7,454.52 and 3,117.51 is: 4,677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.54 : 7,454.52 = 3,117.51 : x
  2. Step 2: Convert to fraction form
    4,968.54/7,454.52 = 3,117.51/x
  3. Step 3: Cross multiply
    4,968.54x = 7,454.52 × 3,117.51
  4. Step 4: Simplify right side
    4,968.54x = 23,239,540.65
  5. Step 5: Solve for x
    x = 23,239,540.65/4,968.54
  6. Step 6: Final answer
    x = 4,677.34

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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.