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Finding the Fourth Proportional to 5,149.98, 7,101.63 and 4,406.40

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Solution

The fourth proportional to 5,149.98, 7,101.63 and 4,406.40 is: 6,076.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.98 : 7,101.63 = 4,406.40 : x
  2. Step 2: Convert to fraction form
    5,149.98/7,101.63 = 4,406.40/x
  3. Step 3: Cross multiply
    5,149.98x = 7,101.63 × 4,406.40
  4. Step 4: Simplify right side
    5,149.98x = 31,292,622.43
  5. Step 5: Solve for x
    x = 31,292,622.43/5,149.98
  6. Step 6: Final answer
    x = 6,076.26

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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.