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Finding the Fourth Proportional to 4,701.87, 7,053.98 and 1,414.89

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Solution

The fourth proportional to 4,701.87, 7,053.98 and 1,414.89 is: 2,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.87 : 7,053.98 = 1,414.89 : x
  2. Step 2: Convert to fraction form
    4,701.87/7,053.98 = 1,414.89/x
  3. Step 3: Cross multiply
    4,701.87x = 7,053.98 × 1,414.89
  4. Step 4: Simplify right side
    4,701.87x = 9,980,598.69
  5. Step 5: Solve for x
    x = 9,980,598.69/4,701.87
  6. Step 6: Final answer
    x = 2,122.69

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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.