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Finding the Fourth Proportional to 3,214.64, 4,436.23 and 1,888.40

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Solution

The fourth proportional to 3,214.64, 4,436.23 and 1,888.40 is: 2,606.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.64 : 4,436.23 = 1,888.40 : x
  2. Step 2: Convert to fraction form
    3,214.64/4,436.23 = 1,888.40/x
  3. Step 3: Cross multiply
    3,214.64x = 4,436.23 × 1,888.40
  4. Step 4: Simplify right side
    3,214.64x = 8,377,366.00
  5. Step 5: Solve for x
    x = 8,377,366.00/3,214.64
  6. Step 6: Final answer
    x = 2,606.01

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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.