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Finding the Fourth Proportional to 4,862.10, 7,300.45 and 2,784.45

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Solution

The fourth proportional to 4,862.10, 7,300.45 and 2,784.45 is: 4,180.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.10 : 7,300.45 = 2,784.45 : x
  2. Step 2: Convert to fraction form
    4,862.10/7,300.45 = 2,784.45/x
  3. Step 3: Cross multiply
    4,862.10x = 7,300.45 × 2,784.45
  4. Step 4: Simplify right side
    4,862.10x = 20,327,738.00
  5. Step 5: Solve for x
    x = 20,327,738.00/4,862.10
  6. Step 6: Final answer
    x = 4,180.86

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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.