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Finding the Fourth Proportional to 3,405.94, 4,700.02 and 1,913.92

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Solution

The fourth proportional to 3,405.94, 4,700.02 and 1,913.92 is: 2,641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.94 : 4,700.02 = 1,913.92 : x
  2. Step 2: Convert to fraction form
    3,405.94/4,700.02 = 1,913.92/x
  3. Step 3: Cross multiply
    3,405.94x = 4,700.02 × 1,913.92
  4. Step 4: Simplify right side
    3,405.94x = 8,995,462.28
  5. Step 5: Solve for x
    x = 8,995,462.28/3,405.94
  6. Step 6: Final answer
    x = 2,641.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.