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Finding the Fourth Proportional to 3,598.53, 4,965.90 and 2,106.51

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Solution

The fourth proportional to 3,598.53, 4,965.90 and 2,106.51 is: 2,906.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.53 : 4,965.90 = 2,106.51 : x
  2. Step 2: Convert to fraction form
    3,598.53/4,965.90 = 2,106.51/x
  3. Step 3: Cross multiply
    3,598.53x = 4,965.90 × 2,106.51
  4. Step 4: Simplify right side
    3,598.53x = 10,460,718.01
  5. Step 5: Solve for x
    x = 10,460,718.01/3,598.53
  6. Step 6: Final answer
    x = 2,906.94

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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.