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Finding the Fourth Proportional to 4,770.08, 6,585.19 and 3,705.47

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Solution

The fourth proportional to 4,770.08, 6,585.19 and 3,705.47 is: 5,115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.08 : 6,585.19 = 3,705.47 : x
  2. Step 2: Convert to fraction form
    4,770.08/6,585.19 = 3,705.47/x
  3. Step 3: Cross multiply
    4,770.08x = 6,585.19 × 3,705.47
  4. Step 4: Simplify right side
    4,770.08x = 24,401,181.80
  5. Step 5: Solve for x
    x = 24,401,181.80/4,770.08
  6. Step 6: Final answer
    x = 5,115.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.