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Finding the Fourth Proportional to 4,564.70, 6,301.98 and 2,887.58

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Solution

The fourth proportional to 4,564.70, 6,301.98 and 2,887.58 is: 3,986.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.70 : 6,301.98 = 2,887.58 : x
  2. Step 2: Convert to fraction form
    4,564.70/6,301.98 = 2,887.58/x
  3. Step 3: Cross multiply
    4,564.70x = 6,301.98 × 2,887.58
  4. Step 4: Simplify right side
    4,564.70x = 18,197,471.41
  5. Step 5: Solve for x
    x = 18,197,471.41/4,564.70
  6. Step 6: Final answer
    x = 3,986.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.