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Finding the Fourth Proportional to 5,390.28, 7,430.11 and 4,938.30

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Solution

The fourth proportional to 5,390.28, 7,430.11 and 4,938.30 is: 6,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.28 : 7,430.11 = 4,938.30 : x
  2. Step 2: Convert to fraction form
    5,390.28/7,430.11 = 4,938.30/x
  3. Step 3: Cross multiply
    5,390.28x = 7,430.11 × 4,938.30
  4. Step 4: Simplify right side
    5,390.28x = 36,692,112.21
  5. Step 5: Solve for x
    x = 36,692,112.21/5,390.28
  6. Step 6: Final answer
    x = 6,807.09

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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.