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Finding the Fourth Proportional to 5,655.96, 8,482.55 and 2,371.50

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Solution

The fourth proportional to 5,655.96, 8,482.55 and 2,371.50 is: 3,556.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.96 : 8,482.55 = 2,371.50 : x
  2. Step 2: Convert to fraction form
    5,655.96/8,482.55 = 2,371.50/x
  3. Step 3: Cross multiply
    5,655.96x = 8,482.55 × 2,371.50
  4. Step 4: Simplify right side
    5,655.96x = 20,116,355.47
  5. Step 5: Solve for x
    x = 20,116,355.47/5,655.96
  6. Step 6: Final answer
    x = 3,556.67

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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.