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Finding the Fourth Proportional to 4,305.90, 6,458.04 and 1,185.13

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Solution

The fourth proportional to 4,305.90, 6,458.04 and 1,185.13 is: 1,777.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.90 : 6,458.04 = 1,185.13 : x
  2. Step 2: Convert to fraction form
    4,305.90/6,458.04 = 1,185.13/x
  3. Step 3: Cross multiply
    4,305.90x = 6,458.04 × 1,185.13
  4. Step 4: Simplify right side
    4,305.90x = 7,653,625.02
  5. Step 5: Solve for x
    x = 7,653,625.02/4,305.90
  6. Step 6: Final answer
    x = 1,777.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.