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Finding the Fourth Proportional to 4,698.33, 7,046.73 and 1,410.84

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Solution

The fourth proportional to 4,698.33, 7,046.73 and 1,410.84 is: 2,116.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.33 : 7,046.73 = 1,410.84 : x
  2. Step 2: Convert to fraction form
    4,698.33/7,046.73 = 1,410.84/x
  3. Step 3: Cross multiply
    4,698.33x = 7,046.73 × 1,410.84
  4. Step 4: Simplify right side
    4,698.33x = 9,941,801.50
  5. Step 5: Solve for x
    x = 9,941,801.50/4,698.33
  6. Step 6: Final answer
    x = 2,116.03

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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.