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Finding the Fourth Proportional to 4,300.07, 6,449.46 and 1,377.98

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Solution

The fourth proportional to 4,300.07, 6,449.46 and 1,377.98 is: 2,066.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,300.07 : 6,449.46 = 1,377.98 : x
  2. Step 2: Convert to fraction form
    4,300.07/6,449.46 = 1,377.98/x
  3. Step 3: Cross multiply
    4,300.07x = 6,449.46 × 1,377.98
  4. Step 4: Simplify right side
    4,300.07x = 8,887,226.89
  5. Step 5: Solve for x
    x = 8,887,226.89/4,300.07
  6. Step 6: Final answer
    x = 2,066.76

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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.