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Finding the Fourth Proportional to 4,214.88, 6,322.32 and 1,903.68

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Solution

The fourth proportional to 4,214.88, 6,322.32 and 1,903.68 is: 2,855.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.88 : 6,322.32 = 1,903.68 : x
  2. Step 2: Convert to fraction form
    4,214.88/6,322.32 = 1,903.68/x
  3. Step 3: Cross multiply
    4,214.88x = 6,322.32 × 1,903.68
  4. Step 4: Simplify right side
    4,214.88x = 12,035,674.14
  5. Step 5: Solve for x
    x = 12,035,674.14/4,214.88
  6. Step 6: Final answer
    x = 2,855.52

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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.