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Finding the Fourth Proportional to 4,704.70, 7,057.38 and 1,417.82

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Solution

The fourth proportional to 4,704.70, 7,057.38 and 1,417.82 is: 2,126.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.70 : 7,057.38 = 1,417.82 : x
  2. Step 2: Convert to fraction form
    4,704.70/7,057.38 = 1,417.82/x
  3. Step 3: Cross multiply
    4,704.70x = 7,057.38 × 1,417.82
  4. Step 4: Simplify right side
    4,704.70x = 10,006,094.51
  5. Step 5: Solve for x
    x = 10,006,094.51/4,704.70
  6. Step 6: Final answer
    x = 2,126.83

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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.