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Finding the Fourth Proportional to 4,784.64, 7,177.37 and 1,321.89

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Solution

The fourth proportional to 4,784.64, 7,177.37 and 1,321.89 is: 1,982.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.64 : 7,177.37 = 1,321.89 : x
  2. Step 2: Convert to fraction form
    4,784.64/7,177.37 = 1,321.89/x
  3. Step 3: Cross multiply
    4,784.64x = 7,177.37 × 1,321.89
  4. Step 4: Simplify right side
    4,784.64x = 9,487,693.63
  5. Step 5: Solve for x
    x = 9,487,693.63/4,784.64
  6. Step 6: Final answer
    x = 1,982.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.