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Finding the Fourth Proportional to 5,426.52, 8,125.96 and 4,927.28

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Solution

The fourth proportional to 5,426.52, 8,125.96 and 4,927.28 is: 7,378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426.52 : 8,125.96 = 4,927.28 : x
  2. Step 2: Convert to fraction form
    5,426.52/8,125.96 = 4,927.28/x
  3. Step 3: Cross multiply
    5,426.52x = 8,125.96 × 4,927.28
  4. Step 4: Simplify right side
    5,426.52x = 40,038,880.19
  5. Step 5: Solve for x
    x = 40,038,880.19/5,426.52
  6. Step 6: Final answer
    x = 7,378.37

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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.