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Finding the Fourth Proportional to 4,051.95, 6,077.24 and 1,129.57

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Solution

The fourth proportional to 4,051.95, 6,077.24 and 1,129.57 is: 1,694.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.95 : 6,077.24 = 1,129.57 : x
  2. Step 2: Convert to fraction form
    4,051.95/6,077.24 = 1,129.57/x
  3. Step 3: Cross multiply
    4,051.95x = 6,077.24 × 1,129.57
  4. Step 4: Simplify right side
    4,051.95x = 6,864,670.06
  5. Step 5: Solve for x
    x = 6,864,670.06/4,051.95
  6. Step 6: Final answer
    x = 1,694.16

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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.