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Finding the Fourth Proportional to 4,347.78, 6,518.83 and 2,862.50

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Solution

The fourth proportional to 4,347.78, 6,518.83 and 2,862.50 is: 4,291.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.78 : 6,518.83 = 2,862.50 : x
  2. Step 2: Convert to fraction form
    4,347.78/6,518.83 = 2,862.50/x
  3. Step 3: Cross multiply
    4,347.78x = 6,518.83 × 2,862.50
  4. Step 4: Simplify right side
    4,347.78x = 18,660,162.33
  5. Step 5: Solve for x
    x = 18,660,162.33/4,347.78
  6. Step 6: Final answer
    x = 4,291.89

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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.