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Finding the Fourth Proportional to 3,307.38, 4,961.31 and 999.06

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Solution

The fourth proportional to 3,307.38, 4,961.31 and 999.06 is: 1,498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.38 : 4,961.31 = 999.06 : x
  2. Step 2: Convert to fraction form
    3,307.38/4,961.31 = 999.06/x
  3. Step 3: Cross multiply
    3,307.38x = 4,961.31 × 999.06
  4. Step 4: Simplify right side
    3,307.38x = 4,956,646.37
  5. Step 5: Solve for x
    x = 4,956,646.37/3,307.38
  6. Step 6: Final answer
    x = 1,498.66

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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.