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Finding the Fourth Proportional to 3,967.47, 5,475.65 and 3,021.93

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Solution

The fourth proportional to 3,967.47, 5,475.65 and 3,021.93 is: 4,170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.47 : 5,475.65 = 3,021.93 : x
  2. Step 2: Convert to fraction form
    3,967.47/5,475.65 = 3,021.93/x
  3. Step 3: Cross multiply
    3,967.47x = 5,475.65 × 3,021.93
  4. Step 4: Simplify right side
    3,967.47x = 16,547,015.89
  5. Step 5: Solve for x
    x = 16,547,015.89/3,967.47
  6. Step 6: Final answer
    x = 4,170.67

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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.