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Finding the Fourth Proportional to 4,051.92, 6,077.06 and 1,130.44

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Solution

The fourth proportional to 4,051.92, 6,077.06 and 1,130.44 is: 1,695.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.92 : 6,077.06 = 1,130.44 : x
  2. Step 2: Convert to fraction form
    4,051.92/6,077.06 = 1,130.44/x
  3. Step 3: Cross multiply
    4,051.92x = 6,077.06 × 1,130.44
  4. Step 4: Simplify right side
    4,051.92x = 6,869,751.71
  5. Step 5: Solve for x
    x = 6,869,751.71/4,051.92
  6. Step 6: Final answer
    x = 1,695.43

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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.