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Finding the Fourth Proportional to 4,411.72, 6,618.30 and 1,333

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Solution

The fourth proportional to 4,411.72, 6,618.30 and 1,333 is: 1,999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,411.72 : 6,618.30 = 1,333 : x
  2. Step 2: Convert to fraction form
    4,411.72/6,618.30 = 1,333/x
  3. Step 3: Cross multiply
    4,411.72x = 6,618.30 × 1,333
  4. Step 4: Simplify right side
    4,411.72x = 8,822,193.90
  5. Step 5: Solve for x
    x = 8,822,193.90/4,411.72
  6. Step 6: Final answer
    x = 1,999.72

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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.