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Finding the Fourth Proportional to 4,648, 6,974.40 and 3,089.08

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Solution

The fourth proportional to 4,648, 6,974.40 and 3,089.08 is: 4,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648 : 6,974.40 = 3,089.08 : x
  2. Step 2: Convert to fraction form
    4,648/6,974.40 = 3,089.08/x
  3. Step 3: Cross multiply
    4,648x = 6,974.40 × 3,089.08
  4. Step 4: Simplify right side
    4,648x = 21,544,479.55
  5. Step 5: Solve for x
    x = 21,544,479.55/4,648
  6. Step 6: Final answer
    x = 4,635.22

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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.