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Finding the Fourth Proportional to 5,646.96, 8,458.08 and 2,719.08

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Solution

The fourth proportional to 5,646.96, 8,458.08 and 2,719.08 is: 4,072.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.96 : 8,458.08 = 2,719.08 : x
  2. Step 2: Convert to fraction form
    5,646.96/8,458.08 = 2,719.08/x
  3. Step 3: Cross multiply
    5,646.96x = 8,458.08 × 2,719.08
  4. Step 4: Simplify right side
    5,646.96x = 22,998,196.17
  5. Step 5: Solve for x
    x = 22,998,196.17/5,646.96
  6. Step 6: Final answer
    x = 4,072.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.