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Finding the Fourth Proportional to 5,258.60, 7,878.30 and 3,204.20

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Solution

The fourth proportional to 5,258.60, 7,878.30 and 3,204.20 is: 4,800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.60 : 7,878.30 = 3,204.20 : x
  2. Step 2: Convert to fraction form
    5,258.60/7,878.30 = 3,204.20/x
  3. Step 3: Cross multiply
    5,258.60x = 7,878.30 × 3,204.20
  4. Step 4: Simplify right side
    5,258.60x = 25,243,648.86
  5. Step 5: Solve for x
    x = 25,243,648.86/5,258.60
  6. Step 6: Final answer
    x = 4,800.45

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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.