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Finding the Fourth Proportional to 5,113.48, 7,054.14 and 4,449.28

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Solution

The fourth proportional to 5,113.48, 7,054.14 and 4,449.28 is: 6,137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.48 : 7,054.14 = 4,449.28 : x
  2. Step 2: Convert to fraction form
    5,113.48/7,054.14 = 4,449.28/x
  3. Step 3: Cross multiply
    5,113.48x = 7,054.14 × 4,449.28
  4. Step 4: Simplify right side
    5,113.48x = 31,385,844.02
  5. Step 5: Solve for x
    x = 31,385,844.02/5,113.48
  6. Step 6: Final answer
    x = 6,137.86

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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.