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Finding the Fourth Proportional to 4,695.35, 7,034.36 and 4,072.06

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Solution

The fourth proportional to 4,695.35, 7,034.36 and 4,072.06 is: 6,100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.35 : 7,034.36 = 4,072.06 : x
  2. Step 2: Convert to fraction form
    4,695.35/7,034.36 = 4,072.06/x
  3. Step 3: Cross multiply
    4,695.35x = 7,034.36 × 4,072.06
  4. Step 4: Simplify right side
    4,695.35x = 28,644,328.58
  5. Step 5: Solve for x
    x = 28,644,328.58/4,695.35
  6. Step 6: Final answer
    x = 6,100.57

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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.