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Finding the Fourth Proportional to 4,964.70, 7,448.05 and 1,454.70

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Solution

The fourth proportional to 4,964.70, 7,448.05 and 1,454.70 is: 2,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.70 : 7,448.05 = 1,454.70 : x
  2. Step 2: Convert to fraction form
    4,964.70/7,448.05 = 1,454.70/x
  3. Step 3: Cross multiply
    4,964.70x = 7,448.05 × 1,454.70
  4. Step 4: Simplify right side
    4,964.70x = 10,834,678.34
  5. Step 5: Solve for x
    x = 10,834,678.34/4,964.70
  6. Step 6: Final answer
    x = 2,182.34

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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.