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Finding the Fourth Proportional to 4,203.02, 6,305.90 and 2,011.46

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Solution

The fourth proportional to 4,203.02, 6,305.90 and 2,011.46 is: 3,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.02 : 6,305.90 = 2,011.46 : x
  2. Step 2: Convert to fraction form
    4,203.02/6,305.90 = 2,011.46/x
  3. Step 3: Cross multiply
    4,203.02x = 6,305.90 × 2,011.46
  4. Step 4: Simplify right side
    4,203.02x = 12,684,065.61
  5. Step 5: Solve for x
    x = 12,684,065.61/4,203.02
  6. Step 6: Final answer
    x = 3,017.85

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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.