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Finding the Fourth Proportional to 4,698.31, 7,050.88 and 3,784.89

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Solution

The fourth proportional to 4,698.31, 7,050.88 and 3,784.89 is: 5,680.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.31 : 7,050.88 = 3,784.89 : x
  2. Step 2: Convert to fraction form
    4,698.31/7,050.88 = 3,784.89/x
  3. Step 3: Cross multiply
    4,698.31x = 7,050.88 × 3,784.89
  4. Step 4: Simplify right side
    4,698.31x = 26,686,805.20
  5. Step 5: Solve for x
    x = 26,686,805.20/4,698.31
  6. Step 6: Final answer
    x = 5,680.09

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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.