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Finding the Fourth Proportional to 4,235.76, 6,353.64 and 1,314.36

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Solution

The fourth proportional to 4,235.76, 6,353.64 and 1,314.36 is: 1,971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.76 : 6,353.64 = 1,314.36 : x
  2. Step 2: Convert to fraction form
    4,235.76/6,353.64 = 1,314.36/x
  3. Step 3: Cross multiply
    4,235.76x = 6,353.64 × 1,314.36
  4. Step 4: Simplify right side
    4,235.76x = 8,350,970.27
  5. Step 5: Solve for x
    x = 8,350,970.27/4,235.76
  6. Step 6: Final answer
    x = 1,971.54

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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.