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Finding the Fourth Proportional to 5,410.38, 7,466.32 and 2,926.38

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Solution

The fourth proportional to 5,410.38, 7,466.32 and 2,926.38 is: 4,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.38 : 7,466.32 = 2,926.38 : x
  2. Step 2: Convert to fraction form
    5,410.38/7,466.32 = 2,926.38/x
  3. Step 3: Cross multiply
    5,410.38x = 7,466.32 × 2,926.38
  4. Step 4: Simplify right side
    5,410.38x = 21,849,289.52
  5. Step 5: Solve for x
    x = 21,849,289.52/5,410.38
  6. Step 6: Final answer
    x = 4,038.40

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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.