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Finding the Fourth Proportional to 4,838.80, 7,258.12 and 2,102.80

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Solution

The fourth proportional to 4,838.80, 7,258.12 and 2,102.80 is: 3,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.80 : 7,258.12 = 2,102.80 : x
  2. Step 2: Convert to fraction form
    4,838.80/7,258.12 = 2,102.80/x
  3. Step 3: Cross multiply
    4,838.80x = 7,258.12 × 2,102.80
  4. Step 4: Simplify right side
    4,838.80x = 15,262,374.74
  5. Step 5: Solve for x
    x = 15,262,374.74/4,838.80
  6. Step 6: Final answer
    x = 3,154.17

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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.