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Finding the Fourth Proportional to 4,283.52, 5,911.76 and 2,420.52

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Solution

The fourth proportional to 4,283.52, 5,911.76 and 2,420.52 is: 3,340.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.52 : 5,911.76 = 2,420.52 : x
  2. Step 2: Convert to fraction form
    4,283.52/5,911.76 = 2,420.52/x
  3. Step 3: Cross multiply
    4,283.52x = 5,911.76 × 2,420.52
  4. Step 4: Simplify right side
    4,283.52x = 14,309,533.32
  5. Step 5: Solve for x
    x = 14,309,533.32/4,283.52
  6. Step 6: Final answer
    x = 3,340.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.