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Finding the Fourth Proportional to 5,983.85, 8,258.70 and 4,564.86

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Solution

The fourth proportional to 5,983.85, 8,258.70 and 4,564.86 is: 6,300.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.85 : 8,258.70 = 4,564.86 : x
  2. Step 2: Convert to fraction form
    5,983.85/8,258.70 = 4,564.86/x
  3. Step 3: Cross multiply
    5,983.85x = 8,258.70 × 4,564.86
  4. Step 4: Simplify right side
    5,983.85x = 37,699,793.80
  5. Step 5: Solve for x
    x = 37,699,793.80/5,983.85
  6. Step 6: Final answer
    x = 6,300.26

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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.