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Finding the Fourth Proportional to 3,303.72, 4,564.80 and 3,185.46

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Solution

The fourth proportional to 3,303.72, 4,564.80 and 3,185.46 is: 4,401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.72 : 4,564.80 = 3,185.46 : x
  2. Step 2: Convert to fraction form
    3,303.72/4,564.80 = 3,185.46/x
  3. Step 3: Cross multiply
    3,303.72x = 4,564.80 × 3,185.46
  4. Step 4: Simplify right side
    3,303.72x = 14,540,987.81
  5. Step 5: Solve for x
    x = 14,540,987.81/3,303.72
  6. Step 6: Final answer
    x = 4,401.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.