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Finding the Fourth Proportional to 4,829.76, 7,230.06 and 3,419.15

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Solution

The fourth proportional to 4,829.76, 7,230.06 and 3,419.15 is: 5,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.76 : 7,230.06 = 3,419.15 : x
  2. Step 2: Convert to fraction form
    4,829.76/7,230.06 = 3,419.15/x
  3. Step 3: Cross multiply
    4,829.76x = 7,230.06 × 3,419.15
  4. Step 4: Simplify right side
    4,829.76x = 24,720,623.50
  5. Step 5: Solve for x
    x = 24,720,623.50/4,829.76
  6. Step 6: Final answer
    x = 5,118.40

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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.