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Finding the Fourth Proportional to 3,051.13, 4,577.55 and 859.87

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Solution

The fourth proportional to 3,051.13, 4,577.55 and 859.87 is: 1,290.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.13 : 4,577.55 = 859.87 : x
  2. Step 2: Convert to fraction form
    3,051.13/4,577.55 = 859.87/x
  3. Step 3: Cross multiply
    3,051.13x = 4,577.55 × 859.87
  4. Step 4: Simplify right side
    3,051.13x = 3,936,097.92
  5. Step 5: Solve for x
    x = 3,936,097.92/3,051.13
  6. Step 6: Final answer
    x = 1,290.05

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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.