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Finding the Fourth Proportional to 5,265.76, 7,890 and 1,801.12

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Solution

The fourth proportional to 5,265.76, 7,890 and 1,801.12 is: 2,698.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.76 : 7,890 = 1,801.12 : x
  2. Step 2: Convert to fraction form
    5,265.76/7,890 = 1,801.12/x
  3. Step 3: Cross multiply
    5,265.76x = 7,890 × 1,801.12
  4. Step 4: Simplify right side
    5,265.76x = 14,210,836.80
  5. Step 5: Solve for x
    x = 14,210,836.80/5,265.76
  6. Step 6: Final answer
    x = 2,698.72

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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.