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Finding the Fourth Proportional to 4,670.12, 7,007.94 and 1,896.58

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Solution

The fourth proportional to 4,670.12, 7,007.94 and 1,896.58 is: 2,845.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.12 : 7,007.94 = 1,896.58 : x
  2. Step 2: Convert to fraction form
    4,670.12/7,007.94 = 1,896.58/x
  3. Step 3: Cross multiply
    4,670.12x = 7,007.94 × 1,896.58
  4. Step 4: Simplify right side
    4,670.12x = 13,291,132.94
  5. Step 5: Solve for x
    x = 13,291,132.94/4,670.12
  6. Step 6: Final answer
    x = 2,845.99

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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.