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Finding the Fourth Proportional to 3,458.13, 4,772.21 and 1,886.23

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Solution

The fourth proportional to 3,458.13, 4,772.21 and 1,886.23 is: 2,602.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.13 : 4,772.21 = 1,886.23 : x
  2. Step 2: Convert to fraction form
    3,458.13/4,772.21 = 1,886.23/x
  3. Step 3: Cross multiply
    3,458.13x = 4,772.21 × 1,886.23
  4. Step 4: Simplify right side
    3,458.13x = 9,001,485.67
  5. Step 5: Solve for x
    x = 9,001,485.67/3,458.13
  6. Step 6: Final answer
    x = 2,602.99

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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.