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Finding the Fourth Proportional to 5,695.64, 8,531.73 and 5,039.22

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Solution

The fourth proportional to 5,695.64, 8,531.73 and 5,039.22 is: 7,548.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.64 : 8,531.73 = 5,039.22 : x
  2. Step 2: Convert to fraction form
    5,695.64/8,531.73 = 5,039.22/x
  3. Step 3: Cross multiply
    5,695.64x = 8,531.73 × 5,039.22
  4. Step 4: Simplify right side
    5,695.64x = 42,993,285.12
  5. Step 5: Solve for x
    x = 42,993,285.12/5,695.64
  6. Step 6: Final answer
    x = 7,548.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.