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Finding the Fourth Proportional to 4,484.19, 6,727.36 and 1,406.19

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Solution

The fourth proportional to 4,484.19, 6,727.36 and 1,406.19 is: 2,109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,484.19 : 6,727.36 = 1,406.19 : x
  2. Step 2: Convert to fraction form
    4,484.19/6,727.36 = 1,406.19/x
  3. Step 3: Cross multiply
    4,484.19x = 6,727.36 × 1,406.19
  4. Step 4: Simplify right side
    4,484.19x = 9,459,946.36
  5. Step 5: Solve for x
    x = 9,459,946.36/4,484.19
  6. Step 6: Final answer
    x = 2,109.62

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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.