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Finding the Fourth Proportional to 3,462.51, 4,778.64 and 2,136.18

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Solution

The fourth proportional to 3,462.51, 4,778.64 and 2,136.18 is: 2,948.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.51 : 4,778.64 = 2,136.18 : x
  2. Step 2: Convert to fraction form
    3,462.51/4,778.64 = 2,136.18/x
  3. Step 3: Cross multiply
    3,462.51x = 4,778.64 × 2,136.18
  4. Step 4: Simplify right side
    3,462.51x = 10,208,035.20
  5. Step 5: Solve for x
    x = 10,208,035.20/3,462.51
  6. Step 6: Final answer
    x = 2,948.16

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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.