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Finding the Fourth Proportional to 4,703.97, 7,014.85 and 4,121.69

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Solution

The fourth proportional to 4,703.97, 7,014.85 and 4,121.69 is: 6,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.97 : 7,014.85 = 4,121.69 : x
  2. Step 2: Convert to fraction form
    4,703.97/7,014.85 = 4,121.69/x
  3. Step 3: Cross multiply
    4,703.97x = 7,014.85 × 4,121.69
  4. Step 4: Simplify right side
    4,703.97x = 28,913,014.90
  5. Step 5: Solve for x
    x = 28,913,014.90/4,703.97
  6. Step 6: Final answer
    x = 6,146.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.