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Finding the Fourth Proportional to 5,220, 7,830.72 and 2,142.72

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Solution

The fourth proportional to 5,220, 7,830.72 and 2,142.72 is: 3,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220 : 7,830.72 = 2,142.72 : x
  2. Step 2: Convert to fraction form
    5,220/7,830.72 = 2,142.72/x
  3. Step 3: Cross multiply
    5,220x = 7,830.72 × 2,142.72
  4. Step 4: Simplify right side
    5,220x = 16,779,040.36
  5. Step 5: Solve for x
    x = 16,779,040.36/5,220
  6. Step 6: Final answer
    x = 3,214.38

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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.