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Finding the Fourth Proportional to 5,666.85, 7,820.48 and 3,148.94

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Solution

The fourth proportional to 5,666.85, 7,820.48 and 3,148.94 is: 4,345.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.85 : 7,820.48 = 3,148.94 : x
  2. Step 2: Convert to fraction form
    5,666.85/7,820.48 = 3,148.94/x
  3. Step 3: Cross multiply
    5,666.85x = 7,820.48 × 3,148.94
  4. Step 4: Simplify right side
    5,666.85x = 24,626,249.71
  5. Step 5: Solve for x
    x = 24,626,249.71/5,666.85
  6. Step 6: Final answer
    x = 4,345.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.