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Finding the Fourth Proportional to 5,606.13, 8,410.12 and 1,709.63

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Solution

The fourth proportional to 5,606.13, 8,410.12 and 1,709.63 is: 2,564.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.13 : 8,410.12 = 1,709.63 : x
  2. Step 2: Convert to fraction form
    5,606.13/8,410.12 = 1,709.63/x
  3. Step 3: Cross multiply
    5,606.13x = 8,410.12 × 1,709.63
  4. Step 4: Simplify right side
    5,606.13x = 14,378,147.13
  5. Step 5: Solve for x
    x = 14,378,147.13/5,606.13
  6. Step 6: Final answer
    x = 2,564.72

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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.