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Finding the Fourth Proportional to 4,784.06, 7,176.50 and 1,321.31

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Solution

The fourth proportional to 4,784.06, 7,176.50 and 1,321.31 is: 1,982.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.06 : 7,176.50 = 1,321.31 : x
  2. Step 2: Convert to fraction form
    4,784.06/7,176.50 = 1,321.31/x
  3. Step 3: Cross multiply
    4,784.06x = 7,176.50 × 1,321.31
  4. Step 4: Simplify right side
    4,784.06x = 9,482,397.50
  5. Step 5: Solve for x
    x = 9,482,397.50/4,784.06
  6. Step 6: Final answer
    x = 1,982.08

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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.