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Finding the Fourth Proportional to 3,709.06, 5,564.11 and 1,518.10

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Solution

The fourth proportional to 3,709.06, 5,564.11 and 1,518.10 is: 2,277.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.06 : 5,564.11 = 1,518.10 : x
  2. Step 2: Convert to fraction form
    3,709.06/5,564.11 = 1,518.10/x
  3. Step 3: Cross multiply
    3,709.06x = 5,564.11 × 1,518.10
  4. Step 4: Simplify right side
    3,709.06x = 8,446,875.39
  5. Step 5: Solve for x
    x = 8,446,875.39/3,709.06
  6. Step 6: Final answer
    x = 2,277.36

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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.