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Finding the Fourth Proportional to 5,648.90, 8,469.14 and 2,357.32

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Solution

The fourth proportional to 5,648.90, 8,469.14 and 2,357.32 is: 3,534.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.90 : 8,469.14 = 2,357.32 : x
  2. Step 2: Convert to fraction form
    5,648.90/8,469.14 = 2,357.32/x
  3. Step 3: Cross multiply
    5,648.90x = 8,469.14 × 2,357.32
  4. Step 4: Simplify right side
    5,648.90x = 19,964,473.10
  5. Step 5: Solve for x
    x = 19,964,473.10/5,648.90
  6. Step 6: Final answer
    x = 3,534.22

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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.