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Finding the Fourth Proportional to 5,218.81, 7,828.21 and 1,323.52

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Solution

The fourth proportional to 5,218.81, 7,828.21 and 1,323.52 is: 1,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.81 : 7,828.21 = 1,323.52 : x
  2. Step 2: Convert to fraction form
    5,218.81/7,828.21 = 1,323.52/x
  3. Step 3: Cross multiply
    5,218.81x = 7,828.21 × 1,323.52
  4. Step 4: Simplify right side
    5,218.81x = 10,360,792.50
  5. Step 5: Solve for x
    x = 10,360,792.50/5,218.81
  6. Step 6: Final answer
    x = 1,985.28

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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.