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Finding the Fourth Proportional to 5,353.36, 7,386.40 and 3,114

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Solution

The fourth proportional to 5,353.36, 7,386.40 and 3,114 is: 4,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,353.36 : 7,386.40 = 3,114 : x
  2. Step 2: Convert to fraction form
    5,353.36/7,386.40 = 3,114/x
  3. Step 3: Cross multiply
    5,353.36x = 7,386.40 × 3,114
  4. Step 4: Simplify right side
    5,353.36x = 23,001,249.60
  5. Step 5: Solve for x
    x = 23,001,249.60/5,353.36
  6. Step 6: Final answer
    x = 4,296.60

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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.