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Finding the Fourth Proportional to 3,484.36, 4,805.16 and 2,778.55

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Solution

The fourth proportional to 3,484.36, 4,805.16 and 2,778.55 is: 3,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.36 : 4,805.16 = 2,778.55 : x
  2. Step 2: Convert to fraction form
    3,484.36/4,805.16 = 2,778.55/x
  3. Step 3: Cross multiply
    3,484.36x = 4,805.16 × 2,778.55
  4. Step 4: Simplify right side
    3,484.36x = 13,351,377.32
  5. Step 5: Solve for x
    x = 13,351,377.32/3,484.36
  6. Step 6: Final answer
    x = 3,831.80

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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.