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Finding the Fourth Proportional to 4,297.59, 6,444.46 and 2,077.51

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Solution

The fourth proportional to 4,297.59, 6,444.46 and 2,077.51 is: 3,115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.59 : 6,444.46 = 2,077.51 : x
  2. Step 2: Convert to fraction form
    4,297.59/6,444.46 = 2,077.51/x
  3. Step 3: Cross multiply
    4,297.59x = 6,444.46 × 2,077.51
  4. Step 4: Simplify right side
    4,297.59x = 13,388,430.09
  5. Step 5: Solve for x
    x = 13,388,430.09/4,297.59
  6. Step 6: Final answer
    x = 3,115.33

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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.