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Finding the Fourth Proportional to 3,847.04, 5,311.76 and 2,357.00

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Solution

The fourth proportional to 3,847.04, 5,311.76 and 2,357.00 is: 3,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.04 : 5,311.76 = 2,357.00 : x
  2. Step 2: Convert to fraction form
    3,847.04/5,311.76 = 2,357.00/x
  3. Step 3: Cross multiply
    3,847.04x = 5,311.76 × 2,357.00
  4. Step 4: Simplify right side
    3,847.04x = 12,519,797.65
  5. Step 5: Solve for x
    x = 12,519,797.65/3,847.04
  6. Step 6: Final answer
    x = 3,254.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.