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Finding the Fourth Proportional to 5,866.54, 8,105.96 and 5,656.34

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Solution

The fourth proportional to 5,866.54, 8,105.96 and 5,656.34 is: 7,815.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.54 : 8,105.96 = 5,656.34 : x
  2. Step 2: Convert to fraction form
    5,866.54/8,105.96 = 5,656.34/x
  3. Step 3: Cross multiply
    5,866.54x = 8,105.96 × 5,656.34
  4. Step 4: Simplify right side
    5,866.54x = 45,850,065.79
  5. Step 5: Solve for x
    x = 45,850,065.79/5,866.54
  6. Step 6: Final answer
    x = 7,815.52

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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.