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Finding the Fourth Proportional to 4,935.08, 7,397.82 and 1,646.48

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Solution

The fourth proportional to 4,935.08, 7,397.82 and 1,646.48 is: 2,468.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.08 : 7,397.82 = 1,646.48 : x
  2. Step 2: Convert to fraction form
    4,935.08/7,397.82 = 1,646.48/x
  3. Step 3: Cross multiply
    4,935.08x = 7,397.82 × 1,646.48
  4. Step 4: Simplify right side
    4,935.08x = 12,180,362.67
  5. Step 5: Solve for x
    x = 12,180,362.67/4,935.08
  6. Step 6: Final answer
    x = 2,468.12

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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.