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Finding the Fourth Proportional to 5,775.22, 7,965.84 and 3,678.40

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Solution

The fourth proportional to 5,775.22, 7,965.84 and 3,678.40 is: 5,073.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.22 : 7,965.84 = 3,678.40 : x
  2. Step 2: Convert to fraction form
    5,775.22/7,965.84 = 3,678.40/x
  3. Step 3: Cross multiply
    5,775.22x = 7,965.84 × 3,678.40
  4. Step 4: Simplify right side
    5,775.22x = 29,301,545.86
  5. Step 5: Solve for x
    x = 29,301,545.86/5,775.22
  6. Step 6: Final answer
    x = 5,073.67

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1.5x scale

Why These Related Problems?

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