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Finding the Fourth Proportional to 5,335.14, 7,362.71 and 2,977.22

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Solution

The fourth proportional to 5,335.14, 7,362.71 and 2,977.22 is: 4,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.14 : 7,362.71 = 2,977.22 : x
  2. Step 2: Convert to fraction form
    5,335.14/7,362.71 = 2,977.22/x
  3. Step 3: Cross multiply
    5,335.14x = 7,362.71 × 2,977.22
  4. Step 4: Simplify right side
    5,335.14x = 21,920,407.47
  5. Step 5: Solve for x
    x = 21,920,407.47/5,335.14
  6. Step 6: Final answer
    x = 4,108.68

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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.