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Finding the Fourth Proportional to 4,670.46, 7,001.44 and 3,624.75

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Solution

The fourth proportional to 4,670.46, 7,001.44 and 3,624.75 is: 5,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.46 : 7,001.44 = 3,624.75 : x
  2. Step 2: Convert to fraction form
    4,670.46/7,001.44 = 3,624.75/x
  3. Step 3: Cross multiply
    4,670.46x = 7,001.44 × 3,624.75
  4. Step 4: Simplify right side
    4,670.46x = 25,378,460.58
  5. Step 5: Solve for x
    x = 25,378,460.58/4,670.46
  6. Step 6: Final answer
    x = 5,433.82

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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.