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Finding the Fourth Proportional to 3,406.93, 4,700.40 and 2,129.95

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Solution

The fourth proportional to 3,406.93, 4,700.40 and 2,129.95 is: 2,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.93 : 4,700.40 = 2,129.95 : x
  2. Step 2: Convert to fraction form
    3,406.93/4,700.40 = 2,129.95/x
  3. Step 3: Cross multiply
    3,406.93x = 4,700.40 × 2,129.95
  4. Step 4: Simplify right side
    3,406.93x = 10,011,588.43
  5. Step 5: Solve for x
    x = 10,011,588.43/3,406.93
  6. Step 6: Final answer
    x = 2,938.60

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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.