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Finding the Fourth Proportional to 5,666.63, 7,819.56 and 3,429.74

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Solution

The fourth proportional to 5,666.63, 7,819.56 and 3,429.74 is: 4,732.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.63 : 7,819.56 = 3,429.74 : x
  2. Step 2: Convert to fraction form
    5,666.63/7,819.56 = 3,429.74/x
  3. Step 3: Cross multiply
    5,666.63x = 7,819.56 × 3,429.74
  4. Step 4: Simplify right side
    5,666.63x = 26,819,077.26
  5. Step 5: Solve for x
    x = 26,819,077.26/5,666.63
  6. Step 6: Final answer
    x = 4,732.81

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1.5x scale

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.