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Finding the Fourth Proportional to 4,599.06, 6,896.58 and 1,311.42

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Solution

The fourth proportional to 4,599.06, 6,896.58 and 1,311.42 is: 1,966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.06 : 6,896.58 = 1,311.42 : x
  2. Step 2: Convert to fraction form
    4,599.06/6,896.58 = 1,311.42/x
  3. Step 3: Cross multiply
    4,599.06x = 6,896.58 × 1,311.42
  4. Step 4: Simplify right side
    4,599.06x = 9,044,312.94
  5. Step 5: Solve for x
    x = 9,044,312.94/4,599.06
  6. Step 6: Final answer
    x = 1,966.56

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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.