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Finding the Fourth Proportional to 5,368.16, 8,052.16 and 2,769.60

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Solution

The fourth proportional to 5,368.16, 8,052.16 and 2,769.60 is: 4,154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.16 : 8,052.16 = 2,769.60 : x
  2. Step 2: Convert to fraction form
    5,368.16/8,052.16 = 2,769.60/x
  3. Step 3: Cross multiply
    5,368.16x = 8,052.16 × 2,769.60
  4. Step 4: Simplify right side
    5,368.16x = 22,301,262.34
  5. Step 5: Solve for x
    x = 22,301,262.34/5,368.16
  6. Step 6: Final answer
    x = 4,154.36

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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.