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Finding the Fourth Proportional to 4,588.47, 6,883.05 and 1,301.83

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Solution

The fourth proportional to 4,588.47, 6,883.05 and 1,301.83 is: 1,952.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.47 : 6,883.05 = 1,301.83 : x
  2. Step 2: Convert to fraction form
    4,588.47/6,883.05 = 1,301.83/x
  3. Step 3: Cross multiply
    4,588.47x = 6,883.05 × 1,301.83
  4. Step 4: Simplify right side
    4,588.47x = 8,960,560.98
  5. Step 5: Solve for x
    x = 8,960,560.98/4,588.47
  6. Step 6: Final answer
    x = 1,952.84

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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.