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Finding the Fourth Proportional to 5,770.44, 8,707.68 and 5,564.52

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Solution

The fourth proportional to 5,770.44, 8,707.68 and 5,564.52 is: 8,396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.44 : 8,707.68 = 5,564.52 : x
  2. Step 2: Convert to fraction form
    5,770.44/8,707.68 = 5,564.52/x
  3. Step 3: Cross multiply
    5,770.44x = 8,707.68 × 5,564.52
  4. Step 4: Simplify right side
    5,770.44x = 48,454,059.51
  5. Step 5: Solve for x
    x = 48,454,059.51/5,770.44
  6. Step 6: Final answer
    x = 8,396.94

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Why These Related Problems?

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