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Finding the Fourth Proportional to 5,406.65, 7,461.35 and 3,137.82

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Solution

The fourth proportional to 5,406.65, 7,461.35 and 3,137.82 is: 4,330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.65 : 7,461.35 = 3,137.82 : x
  2. Step 2: Convert to fraction form
    5,406.65/7,461.35 = 3,137.82/x
  3. Step 3: Cross multiply
    5,406.65x = 7,461.35 × 3,137.82
  4. Step 4: Simplify right side
    5,406.65x = 23,412,351.09
  5. Step 5: Solve for x
    x = 23,412,351.09/5,406.65
  6. Step 6: Final answer
    x = 4,330.29

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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.