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Finding the Fourth Proportional to 5,214.24, 7,820.64 and 3,024

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Solution

The fourth proportional to 5,214.24, 7,820.64 and 3,024 is: 4,535.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.24 : 7,820.64 = 3,024 : x
  2. Step 2: Convert to fraction form
    5,214.24/7,820.64 = 3,024/x
  3. Step 3: Cross multiply
    5,214.24x = 7,820.64 × 3,024
  4. Step 4: Simplify right side
    5,214.24x = 23,649,615.36
  5. Step 5: Solve for x
    x = 23,649,615.36/5,214.24
  6. Step 6: Final answer
    x = 4,535.58

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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.