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Finding the Fourth Proportional to 3,496.35, 5,246.35 and 1,417.89

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Solution

The fourth proportional to 3,496.35, 5,246.35 and 1,417.89 is: 2,127.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.35 : 5,246.35 = 1,417.89 : x
  2. Step 2: Convert to fraction form
    3,496.35/5,246.35 = 1,417.89/x
  3. Step 3: Cross multiply
    3,496.35x = 5,246.35 × 1,417.89
  4. Step 4: Simplify right side
    3,496.35x = 7,438,747.20
  5. Step 5: Solve for x
    x = 7,438,747.20/3,496.35
  6. Step 6: Final answer
    x = 2,127.58

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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.