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Finding the Fourth Proportional to 4,784.40, 7,176.52 and 1,321.68

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Solution

The fourth proportional to 4,784.40, 7,176.52 and 1,321.68 is: 1,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.40 : 7,176.52 = 1,321.68 : x
  2. Step 2: Convert to fraction form
    4,784.40/7,176.52 = 1,321.68/x
  3. Step 3: Cross multiply
    4,784.40x = 7,176.52 × 1,321.68
  4. Step 4: Simplify right side
    4,784.40x = 9,485,062.95
  5. Step 5: Solve for x
    x = 9,485,062.95/4,784.40
  6. Step 6: Final answer
    x = 1,982.50

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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.