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Finding the Fourth Proportional to 5,406.14, 7,460.71 and 3,610.58

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Solution

The fourth proportional to 5,406.14, 7,460.71 and 3,610.58 is: 4,982.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.14 : 7,460.71 = 3,610.58 : x
  2. Step 2: Convert to fraction form
    5,406.14/7,460.71 = 3,610.58/x
  3. Step 3: Cross multiply
    5,406.14x = 7,460.71 × 3,610.58
  4. Step 4: Simplify right side
    5,406.14x = 26,937,443.98
  5. Step 5: Solve for x
    x = 26,937,443.98/5,406.14
  6. Step 6: Final answer
    x = 4,982.75

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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.