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Finding the Fourth Proportional to 3,656.58, 5,486.16 and 2,428.86

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Solution

The fourth proportional to 3,656.58, 5,486.16 and 2,428.86 is: 3,644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.58 : 5,486.16 = 2,428.86 : x
  2. Step 2: Convert to fraction form
    3,656.58/5,486.16 = 2,428.86/x
  3. Step 3: Cross multiply
    3,656.58x = 5,486.16 × 2,428.86
  4. Step 4: Simplify right side
    3,656.58x = 13,325,114.58
  5. Step 5: Solve for x
    x = 13,325,114.58/3,656.58
  6. Step 6: Final answer
    x = 3,644.15

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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.