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Finding the Fourth Proportional to 5,541.68, 8,319 and 4,628

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Solution

The fourth proportional to 5,541.68, 8,319 and 4,628 is: 6,947.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.68 : 8,319 = 4,628 : x
  2. Step 2: Convert to fraction form
    5,541.68/8,319 = 4,628/x
  3. Step 3: Cross multiply
    5,541.68x = 8,319 × 4,628
  4. Step 4: Simplify right side
    5,541.68x = 38,500,332
  5. Step 5: Solve for x
    x = 38,500,332/5,541.68
  6. Step 6: Final answer
    x = 6,947.41

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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.