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Finding the Fourth Proportional to 5,078.84, 7,615.52 and 2,740.10

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Solution

The fourth proportional to 5,078.84, 7,615.52 and 2,740.10 is: 4,108.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.84 : 7,615.52 = 2,740.10 : x
  2. Step 2: Convert to fraction form
    5,078.84/7,615.52 = 2,740.10/x
  3. Step 3: Cross multiply
    5,078.84x = 7,615.52 × 2,740.10
  4. Step 4: Simplify right side
    5,078.84x = 20,867,286.35
  5. Step 5: Solve for x
    x = 20,867,286.35/5,078.84
  6. Step 6: Final answer
    x = 4,108.67

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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.