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Finding the Fourth Proportional to 5,859.36, 8,790.66 and 5,214.60

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Solution

The fourth proportional to 5,859.36, 8,790.66 and 5,214.60 is: 7,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.36 : 8,790.66 = 5,214.60 : x
  2. Step 2: Convert to fraction form
    5,859.36/8,790.66 = 5,214.60/x
  3. Step 3: Cross multiply
    5,859.36x = 8,790.66 × 5,214.60
  4. Step 4: Simplify right side
    5,859.36x = 45,839,775.64
  5. Step 5: Solve for x
    x = 45,839,775.64/5,859.36
  6. Step 6: Final answer
    x = 7,823.34

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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.