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Finding the Fourth Proportional to 5,665.40, 8,541.59 and 5,284.26

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Solution

The fourth proportional to 5,665.40, 8,541.59 and 5,284.26 is: 7,966.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.40 : 8,541.59 = 5,284.26 : x
  2. Step 2: Convert to fraction form
    5,665.40/8,541.59 = 5,284.26/x
  3. Step 3: Cross multiply
    5,665.40x = 8,541.59 × 5,284.26
  4. Step 4: Simplify right side
    5,665.40x = 45,135,955.95
  5. Step 5: Solve for x
    x = 45,135,955.95/5,665.40
  6. Step 6: Final answer
    x = 7,966.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.