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Finding the Fourth Proportional to 4,323.34, 6,511.58 and 4,019.14

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Solution

The fourth proportional to 4,323.34, 6,511.58 and 4,019.14 is: 6,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.34 : 6,511.58 = 4,019.14 : x
  2. Step 2: Convert to fraction form
    4,323.34/6,511.58 = 4,019.14/x
  3. Step 3: Cross multiply
    4,323.34x = 6,511.58 × 4,019.14
  4. Step 4: Simplify right side
    4,323.34x = 26,170,951.64
  5. Step 5: Solve for x
    x = 26,170,951.64/4,323.34
  6. Step 6: Final answer
    x = 6,053.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.