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Finding the Fourth Proportional to 4,291.68, 5,922.80 and 2,403.44

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Solution

The fourth proportional to 4,291.68, 5,922.80 and 2,403.44 is: 3,316.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.68 : 5,922.80 = 2,403.44 : x
  2. Step 2: Convert to fraction form
    4,291.68/5,922.80 = 2,403.44/x
  3. Step 3: Cross multiply
    4,291.68x = 5,922.80 × 2,403.44
  4. Step 4: Simplify right side
    4,291.68x = 14,235,094.43
  5. Step 5: Solve for x
    x = 14,235,094.43/4,291.68
  6. Step 6: Final answer
    x = 3,316.90

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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.