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Finding the Fourth Proportional to 4,213, 6,319.24 and 1,291.08

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Solution

The fourth proportional to 4,213, 6,319.24 and 1,291.08 is: 1,936.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213 : 6,319.24 = 1,291.08 : x
  2. Step 2: Convert to fraction form
    4,213/6,319.24 = 1,291.08/x
  3. Step 3: Cross multiply
    4,213x = 6,319.24 × 1,291.08
  4. Step 4: Simplify right side
    4,213x = 8,158,644.38
  5. Step 5: Solve for x
    x = 8,158,644.38/4,213
  6. Step 6: Final answer
    x = 1,936.54

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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.