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Finding the Fourth Proportional to 4,265, 5,880.30 and 3,506

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Solution

The fourth proportional to 4,265, 5,880.30 and 3,506 is: 4,833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,265 : 5,880.30 = 3,506 : x
  2. Step 2: Convert to fraction form
    4,265/5,880.30 = 3,506/x
  3. Step 3: Cross multiply
    4,265x = 5,880.30 × 3,506
  4. Step 4: Simplify right side
    4,265x = 20,616,331.80
  5. Step 5: Solve for x
    x = 20,616,331.80/4,265
  6. Step 6: Final answer
    x = 4,833.84

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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.