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Finding the Fourth Proportional to 4,671.42, 7,001.66 and 2,333.06

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Solution

The fourth proportional to 4,671.42, 7,001.66 and 2,333.06 is: 3,496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.42 : 7,001.66 = 2,333.06 : x
  2. Step 2: Convert to fraction form
    4,671.42/7,001.66 = 2,333.06/x
  3. Step 3: Cross multiply
    4,671.42x = 7,001.66 × 2,333.06
  4. Step 4: Simplify right side
    4,671.42x = 16,335,292.88
  5. Step 5: Solve for x
    x = 16,335,292.88/4,671.42
  6. Step 6: Final answer
    x = 3,496.86

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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.