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Finding the Fourth Proportional to 3,706.16, 5,581.20 and 3,225.02

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Solution

The fourth proportional to 3,706.16, 5,581.20 and 3,225.02 is: 4,856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.16 : 5,581.20 = 3,225.02 : x
  2. Step 2: Convert to fraction form
    3,706.16/5,581.20 = 3,225.02/x
  3. Step 3: Cross multiply
    3,706.16x = 5,581.20 × 3,225.02
  4. Step 4: Simplify right side
    3,706.16x = 17,999,465.81
  5. Step 5: Solve for x
    x = 17,999,465.81/3,706.16
  6. Step 6: Final answer
    x = 4,856.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.