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Finding the Fourth Proportional to 3,597.23, 4,965.08 and 2,402.21

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Solution

The fourth proportional to 3,597.23, 4,965.08 and 2,402.21 is: 3,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.23 : 4,965.08 = 2,402.21 : x
  2. Step 2: Convert to fraction form
    3,597.23/4,965.08 = 2,402.21/x
  3. Step 3: Cross multiply
    3,597.23x = 4,965.08 × 2,402.21
  4. Step 4: Simplify right side
    3,597.23x = 11,927,127.99
  5. Step 5: Solve for x
    x = 11,927,127.99/3,597.23
  6. Step 6: Final answer
    x = 3,315.65

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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.