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Finding the Fourth Proportional to 4,265.02, 6,398.01 and 1,187.02

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Solution

The fourth proportional to 4,265.02, 6,398.01 and 1,187.02 is: 1,780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,265.02 : 6,398.01 = 1,187.02 : x
  2. Step 2: Convert to fraction form
    4,265.02/6,398.01 = 1,187.02/x
  3. Step 3: Cross multiply
    4,265.02x = 6,398.01 × 1,187.02
  4. Step 4: Simplify right side
    4,265.02x = 7,594,565.83
  5. Step 5: Solve for x
    x = 7,594,565.83/4,265.02
  6. Step 6: Final answer
    x = 1,780.66

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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.