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Finding the Fourth Proportional to 4,342.03, 6,512.96 and 1,055.14

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Solution

The fourth proportional to 4,342.03, 6,512.96 and 1,055.14 is: 1,582.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.03 : 6,512.96 = 1,055.14 : x
  2. Step 2: Convert to fraction form
    4,342.03/6,512.96 = 1,055.14/x
  3. Step 3: Cross multiply
    4,342.03x = 6,512.96 × 1,055.14
  4. Step 4: Simplify right side
    4,342.03x = 6,872,079.34
  5. Step 5: Solve for x
    x = 6,872,079.34/4,342.03
  6. Step 6: Final answer
    x = 1,582.69

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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.