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Finding the Fourth Proportional to 5,322.48, 7,984.05 and 1,624.71

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Solution

The fourth proportional to 5,322.48, 7,984.05 and 1,624.71 is: 2,437.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.48 : 7,984.05 = 1,624.71 : x
  2. Step 2: Convert to fraction form
    5,322.48/7,984.05 = 1,624.71/x
  3. Step 3: Cross multiply
    5,322.48x = 7,984.05 × 1,624.71
  4. Step 4: Simplify right side
    5,322.48x = 12,971,765.88
  5. Step 5: Solve for x
    x = 12,971,765.88/5,322.48
  6. Step 6: Final answer
    x = 2,437.17

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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.