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Finding the Fourth Proportional to 3,284.74, 4,529.28 and 2,656.18

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Solution

The fourth proportional to 3,284.74, 4,529.28 and 2,656.18 is: 3,662.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.74 : 4,529.28 = 2,656.18 : x
  2. Step 2: Convert to fraction form
    3,284.74/4,529.28 = 2,656.18/x
  3. Step 3: Cross multiply
    3,284.74x = 4,529.28 × 2,656.18
  4. Step 4: Simplify right side
    3,284.74x = 12,030,582.95
  5. Step 5: Solve for x
    x = 12,030,582.95/3,284.74
  6. Step 6: Final answer
    x = 3,662.57

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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.