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Finding the Fourth Proportional to 4,307.38, 6,463.46 and 2,333.00

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Solution

The fourth proportional to 4,307.38, 6,463.46 and 2,333.00 is: 3,500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.38 : 6,463.46 = 2,333.00 : x
  2. Step 2: Convert to fraction form
    4,307.38/6,463.46 = 2,333.00/x
  3. Step 3: Cross multiply
    4,307.38x = 6,463.46 × 2,333.00
  4. Step 4: Simplify right side
    4,307.38x = 15,079,274.17
  5. Step 5: Solve for x
    x = 15,079,274.17/4,307.38
  6. Step 6: Final answer
    x = 3,500.80

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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.