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Finding the Fourth Proportional to 4,703.14, 7,053.06 and 1,415.38

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Solution

The fourth proportional to 4,703.14, 7,053.06 and 1,415.38 is: 2,122.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.14 : 7,053.06 = 1,415.38 : x
  2. Step 2: Convert to fraction form
    4,703.14/7,053.06 = 1,415.38/x
  3. Step 3: Cross multiply
    4,703.14x = 7,053.06 × 1,415.38
  4. Step 4: Simplify right side
    4,703.14x = 9,982,760.06
  5. Step 5: Solve for x
    x = 9,982,760.06/4,703.14
  6. Step 6: Final answer
    x = 2,122.57

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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.