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Finding the Fourth Proportional to 4,661.29, 6,992.01 and 2,465.48

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Solution

The fourth proportional to 4,661.29, 6,992.01 and 2,465.48 is: 3,698.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.29 : 6,992.01 = 2,465.48 : x
  2. Step 2: Convert to fraction form
    4,661.29/6,992.01 = 2,465.48/x
  3. Step 3: Cross multiply
    4,661.29x = 6,992.01 × 2,465.48
  4. Step 4: Simplify right side
    4,661.29x = 17,238,613.53
  5. Step 5: Solve for x
    x = 17,238,613.53/4,661.29
  6. Step 6: Final answer
    x = 3,698.25

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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.