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Finding the Fourth Proportional to 4,706.40, 7,057.32 and 1,418.88

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Solution

The fourth proportional to 4,706.40, 7,057.32 and 1,418.88 is: 2,127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.40 : 7,057.32 = 1,418.88 : x
  2. Step 2: Convert to fraction form
    4,706.40/7,057.32 = 1,418.88/x
  3. Step 3: Cross multiply
    4,706.40x = 7,057.32 × 1,418.88
  4. Step 4: Simplify right side
    4,706.40x = 10,013,490.20
  5. Step 5: Solve for x
    x = 10,013,490.20/4,706.40
  6. Step 6: Final answer
    x = 2,127.63

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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.