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Finding the Fourth Proportional to 3,537.41, 5,301.07 and 2,605.64

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Solution

The fourth proportional to 3,537.41, 5,301.07 and 2,605.64 is: 3,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.41 : 5,301.07 = 2,605.64 : x
  2. Step 2: Convert to fraction form
    3,537.41/5,301.07 = 2,605.64/x
  3. Step 3: Cross multiply
    3,537.41x = 5,301.07 × 2,605.64
  4. Step 4: Simplify right side
    3,537.41x = 13,812,647.02
  5. Step 5: Solve for x
    x = 13,812,647.02/3,537.41
  6. Step 6: Final answer
    x = 3,904.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.