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Finding the Fourth Proportional to 3,419.35, 4,706.85 and 2,948.81

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Solution

The fourth proportional to 3,419.35, 4,706.85 and 2,948.81 is: 4,059.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.35 : 4,706.85 = 2,948.81 : x
  2. Step 2: Convert to fraction form
    3,419.35/4,706.85 = 2,948.81/x
  3. Step 3: Cross multiply
    3,419.35x = 4,706.85 × 2,948.81
  4. Step 4: Simplify right side
    3,419.35x = 13,879,594.58
  5. Step 5: Solve for x
    x = 13,879,594.58/3,419.35
  6. Step 6: Final answer
    x = 4,059.13

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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.