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Finding the Fourth Proportional to 4,211.68, 6,317.56 and 1,614

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Solution

The fourth proportional to 4,211.68, 6,317.56 and 1,614 is: 2,421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211.68 : 6,317.56 = 1,614 : x
  2. Step 2: Convert to fraction form
    4,211.68/6,317.56 = 1,614/x
  3. Step 3: Cross multiply
    4,211.68x = 6,317.56 × 1,614
  4. Step 4: Simplify right side
    4,211.68x = 10,196,541.84
  5. Step 5: Solve for x
    x = 10,196,541.84/4,211.68
  6. Step 6: Final answer
    x = 2,421.02

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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.