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Finding the Fourth Proportional to 5,298.41, 7,943.45 and 3,346.50

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Solution

The fourth proportional to 5,298.41, 7,943.45 and 3,346.50 is: 5,017.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.41 : 7,943.45 = 3,346.50 : x
  2. Step 2: Convert to fraction form
    5,298.41/7,943.45 = 3,346.50/x
  3. Step 3: Cross multiply
    5,298.41x = 7,943.45 × 3,346.50
  4. Step 4: Simplify right side
    5,298.41x = 26,582,738.69
  5. Step 5: Solve for x
    x = 26,582,738.69/5,298.41
  6. Step 6: Final answer
    x = 5,017.12

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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.