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Finding the Fourth Proportional to 3,499.09, 4,827.54 and 2,153.32

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Solution

The fourth proportional to 3,499.09, 4,827.54 and 2,153.32 is: 2,970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.09 : 4,827.54 = 2,153.32 : x
  2. Step 2: Convert to fraction form
    3,499.09/4,827.54 = 2,153.32/x
  3. Step 3: Cross multiply
    3,499.09x = 4,827.54 × 2,153.32
  4. Step 4: Simplify right side
    3,499.09x = 10,395,238.43
  5. Step 5: Solve for x
    x = 10,395,238.43/3,499.09
  6. Step 6: Final answer
    x = 2,970.84

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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.