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Finding the Fourth Proportional to 4,705.72, 7,047.45 and 4,086.06

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Solution

The fourth proportional to 4,705.72, 7,047.45 and 4,086.06 is: 6,119.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.72 : 7,047.45 = 4,086.06 : x
  2. Step 2: Convert to fraction form
    4,705.72/7,047.45 = 4,086.06/x
  3. Step 3: Cross multiply
    4,705.72x = 7,047.45 × 4,086.06
  4. Step 4: Simplify right side
    4,705.72x = 28,796,303.55
  5. Step 5: Solve for x
    x = 28,796,303.55/4,705.72
  6. Step 6: Final answer
    x = 6,119.43

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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.