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Finding the Fourth Proportional to 3,607.16, 5,384.64 and 3,169.76

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Solution

The fourth proportional to 3,607.16, 5,384.64 and 3,169.76 is: 4,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.16 : 5,384.64 = 3,169.76 : x
  2. Step 2: Convert to fraction form
    3,607.16/5,384.64 = 3,169.76/x
  3. Step 3: Cross multiply
    3,607.16x = 5,384.64 × 3,169.76
  4. Step 4: Simplify right side
    3,607.16x = 17,068,016.49
  5. Step 5: Solve for x
    x = 17,068,016.49/3,607.16
  6. Step 6: Final answer
    x = 4,731.70

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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.