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Finding the Fourth Proportional to 4,673.92, 7,008.16 and 1,901.92

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Solution

The fourth proportional to 4,673.92, 7,008.16 and 1,901.92 is: 2,851.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.92 : 7,008.16 = 1,901.92 : x
  2. Step 2: Convert to fraction form
    4,673.92/7,008.16 = 1,901.92/x
  3. Step 3: Cross multiply
    4,673.92x = 7,008.16 × 1,901.92
  4. Step 4: Simplify right side
    4,673.92x = 13,328,959.67
  5. Step 5: Solve for x
    x = 13,328,959.67/4,673.92
  6. Step 6: Final answer
    x = 2,851.77

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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.