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Finding the Fourth Proportional to 5,216.40, 7,824.52 and 1,267.68

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Solution

The fourth proportional to 5,216.40, 7,824.52 and 1,267.68 is: 1,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.40 : 7,824.52 = 1,267.68 : x
  2. Step 2: Convert to fraction form
    5,216.40/7,824.52 = 1,267.68/x
  3. Step 3: Cross multiply
    5,216.40x = 7,824.52 × 1,267.68
  4. Step 4: Simplify right side
    5,216.40x = 9,918,987.51
  5. Step 5: Solve for x
    x = 9,918,987.51/5,216.40
  6. Step 6: Final answer
    x = 1,901.50

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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.