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Finding the Fourth Proportional to 3,598.90, 4,965 and 2,656.96

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Solution

The fourth proportional to 3,598.90, 4,965 and 2,656.96 is: 3,665.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.90 : 4,965 = 2,656.96 : x
  2. Step 2: Convert to fraction form
    3,598.90/4,965 = 2,656.96/x
  3. Step 3: Cross multiply
    3,598.90x = 4,965 × 2,656.96
  4. Step 4: Simplify right side
    3,598.90x = 13,191,806.40
  5. Step 5: Solve for x
    x = 13,191,806.40/3,598.90
  6. Step 6: Final answer
    x = 3,665.51

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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.