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Finding the Fourth Proportional to 5,605.44, 8,408.28 and 1,709.76

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Solution

The fourth proportional to 5,605.44, 8,408.28 and 1,709.76 is: 2,564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.44 : 8,408.28 = 1,709.76 : x
  2. Step 2: Convert to fraction form
    5,605.44/8,408.28 = 1,709.76/x
  3. Step 3: Cross multiply
    5,605.44x = 8,408.28 × 1,709.76
  4. Step 4: Simplify right side
    5,605.44x = 14,376,140.81
  5. Step 5: Solve for x
    x = 14,376,140.81/5,605.44
  6. Step 6: Final answer
    x = 2,564.68

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1.5x scale

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.