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Finding the Fourth Proportional to 4,913.21, 7,365.01 and 1,624.12

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Solution

The fourth proportional to 4,913.21, 7,365.01 and 1,624.12 is: 2,434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.21 : 7,365.01 = 1,624.12 : x
  2. Step 2: Convert to fraction form
    4,913.21/7,365.01 = 1,624.12/x
  3. Step 3: Cross multiply
    4,913.21x = 7,365.01 × 1,624.12
  4. Step 4: Simplify right side
    4,913.21x = 11,961,660.04
  5. Step 5: Solve for x
    x = 11,961,660.04/4,913.21
  6. Step 6: Final answer
    x = 2,434.59

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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.