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Finding the Fourth Proportional to 4,200.20, 6,305.16 and 2,256.20

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Solution

The fourth proportional to 4,200.20, 6,305.16 and 2,256.20 is: 3,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.20 : 6,305.16 = 2,256.20 : x
  2. Step 2: Convert to fraction form
    4,200.20/6,305.16 = 2,256.20/x
  3. Step 3: Cross multiply
    4,200.20x = 6,305.16 × 2,256.20
  4. Step 4: Simplify right side
    4,200.20x = 14,225,701.99
  5. Step 5: Solve for x
    x = 14,225,701.99/4,200.20
  6. Step 6: Final answer
    x = 3,386.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.