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Finding the Fourth Proportional to 4,678.62, 7,015.05 and 4,235.10

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Solution

The fourth proportional to 4,678.62, 7,015.05 and 4,235.10 is: 6,350.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.62 : 7,015.05 = 4,235.10 : x
  2. Step 2: Convert to fraction form
    4,678.62/7,015.05 = 4,235.10/x
  3. Step 3: Cross multiply
    4,678.62x = 7,015.05 × 4,235.10
  4. Step 4: Simplify right side
    4,678.62x = 29,709,438.26
  5. Step 5: Solve for x
    x = 29,709,438.26/4,678.62
  6. Step 6: Final answer
    x = 6,350.04

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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.