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Finding the Fourth Proportional to 4,556.74, 6,835.16 and 1,436.68

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Solution

The fourth proportional to 4,556.74, 6,835.16 and 1,436.68 is: 2,155.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.74 : 6,835.16 = 1,436.68 : x
  2. Step 2: Convert to fraction form
    4,556.74/6,835.16 = 1,436.68/x
  3. Step 3: Cross multiply
    4,556.74x = 6,835.16 × 1,436.68
  4. Step 4: Simplify right side
    4,556.74x = 9,819,937.67
  5. Step 5: Solve for x
    x = 9,819,937.67/4,556.74
  6. Step 6: Final answer
    x = 2,155.04

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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.