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Finding the Fourth Proportional to 3,895.34, 5,835.45 and 3,459.02

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Solution

The fourth proportional to 3,895.34, 5,835.45 and 3,459.02 is: 5,181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.34 : 5,835.45 = 3,459.02 : x
  2. Step 2: Convert to fraction form
    3,895.34/5,835.45 = 3,459.02/x
  3. Step 3: Cross multiply
    3,895.34x = 5,835.45 × 3,459.02
  4. Step 4: Simplify right side
    3,895.34x = 20,184,938.26
  5. Step 5: Solve for x
    x = 20,184,938.26/3,895.34
  6. Step 6: Final answer
    x = 5,181.82

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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.