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Finding the Fourth Proportional to 3,478.90, 4,802.19 and 2,301.58

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Solution

The fourth proportional to 3,478.90, 4,802.19 and 2,301.58 is: 3,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.90 : 4,802.19 = 2,301.58 : x
  2. Step 2: Convert to fraction form
    3,478.90/4,802.19 = 2,301.58/x
  3. Step 3: Cross multiply
    3,478.90x = 4,802.19 × 2,301.58
  4. Step 4: Simplify right side
    3,478.90x = 11,052,624.46
  5. Step 5: Solve for x
    x = 11,052,624.46/3,478.90
  6. Step 6: Final answer
    x = 3,177.05

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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.