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Finding the Fourth Proportional to 4,615.54, 6,922.59 and 2,017.78

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Solution

The fourth proportional to 4,615.54, 6,922.59 and 2,017.78 is: 3,026.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.54 : 6,922.59 = 2,017.78 : x
  2. Step 2: Convert to fraction form
    4,615.54/6,922.59 = 2,017.78/x
  3. Step 3: Cross multiply
    4,615.54x = 6,922.59 × 2,017.78
  4. Step 4: Simplify right side
    4,615.54x = 13,968,263.65
  5. Step 5: Solve for x
    x = 13,968,263.65/4,615.54
  6. Step 6: Final answer
    x = 3,026.36

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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.