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Finding the Fourth Proportional to 4,496.32, 6,744.93 and 1,209.76

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Solution

The fourth proportional to 4,496.32, 6,744.93 and 1,209.76 is: 1,814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.32 : 6,744.93 = 1,209.76 : x
  2. Step 2: Convert to fraction form
    4,496.32/6,744.93 = 1,209.76/x
  3. Step 3: Cross multiply
    4,496.32x = 6,744.93 × 1,209.76
  4. Step 4: Simplify right side
    4,496.32x = 8,159,746.52
  5. Step 5: Solve for x
    x = 8,159,746.52/4,496.32
  6. Step 6: Final answer
    x = 1,814.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.