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Finding the Fourth Proportional to 5,369.34, 8,053.08 and 1,420.64

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Solution

The fourth proportional to 5,369.34, 8,053.08 and 1,420.64 is: 2,130.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.34 : 8,053.08 = 1,420.64 : x
  2. Step 2: Convert to fraction form
    5,369.34/8,053.08 = 1,420.64/x
  3. Step 3: Cross multiply
    5,369.34x = 8,053.08 × 1,420.64
  4. Step 4: Simplify right side
    5,369.34x = 11,440,527.57
  5. Step 5: Solve for x
    x = 11,440,527.57/5,369.34
  6. Step 6: Final answer
    x = 2,130.71

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