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Finding the Fourth Proportional to 5,261.97, 7,894.32 and 1,564.18

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Solution

The fourth proportional to 5,261.97, 7,894.32 and 1,564.18 is: 2,346.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.97 : 7,894.32 = 1,564.18 : x
  2. Step 2: Convert to fraction form
    5,261.97/7,894.32 = 1,564.18/x
  3. Step 3: Cross multiply
    5,261.97x = 7,894.32 × 1,564.18
  4. Step 4: Simplify right side
    5,261.97x = 12,348,137.46
  5. Step 5: Solve for x
    x = 12,348,137.46/5,261.97
  6. Step 6: Final answer
    x = 2,346.68

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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.