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Finding the Fourth Proportional to 3,353.40, 5,030.10 and 1,405.17

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Solution

The fourth proportional to 3,353.40, 5,030.10 and 1,405.17 is: 2,107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353.40 : 5,030.10 = 1,405.17 : x
  2. Step 2: Convert to fraction form
    3,353.40/5,030.10 = 1,405.17/x
  3. Step 3: Cross multiply
    3,353.40x = 5,030.10 × 1,405.17
  4. Step 4: Simplify right side
    3,353.40x = 7,068,145.62
  5. Step 5: Solve for x
    x = 7,068,145.62/3,353.40
  6. Step 6: Final answer
    x = 2,107.76

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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.