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Finding the Fourth Proportional to 4,701.85, 7,052.81 and 1,414.93

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Solution

The fourth proportional to 4,701.85, 7,052.81 and 1,414.93 is: 2,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.85 : 7,052.81 = 1,414.93 : x
  2. Step 2: Convert to fraction form
    4,701.85/7,052.81 = 1,414.93/x
  3. Step 3: Cross multiply
    4,701.85x = 7,052.81 × 1,414.93
  4. Step 4: Simplify right side
    4,701.85x = 9,979,192.77
  5. Step 5: Solve for x
    x = 9,979,192.77/4,701.85
  6. Step 6: Final answer
    x = 2,122.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.