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Finding the Fourth Proportional to 3,205.48, 4,780.28 and 3,066.16

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Solution

The fourth proportional to 3,205.48, 4,780.28 and 3,066.16 is: 4,572.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.48 : 4,780.28 = 3,066.16 : x
  2. Step 2: Convert to fraction form
    3,205.48/4,780.28 = 3,066.16/x
  3. Step 3: Cross multiply
    3,205.48x = 4,780.28 × 3,066.16
  4. Step 4: Simplify right side
    3,205.48x = 14,657,103.32
  5. Step 5: Solve for x
    x = 14,657,103.32/3,205.48
  6. Step 6: Final answer
    x = 4,572.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.