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Finding the Fourth Proportional to 3,495.06, 5,242.62 and 897.92

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Solution

The fourth proportional to 3,495.06, 5,242.62 and 897.92 is: 1,346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.06 : 5,242.62 = 897.92 : x
  2. Step 2: Convert to fraction form
    3,495.06/5,242.62 = 897.92/x
  3. Step 3: Cross multiply
    3,495.06x = 5,242.62 × 897.92
  4. Step 4: Simplify right side
    3,495.06x = 4,707,453.35
  5. Step 5: Solve for x
    x = 4,707,453.35/3,495.06
  6. Step 6: Final answer
    x = 1,346.89

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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.