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Finding the Fourth Proportional to 4,343.64, 6,516 and 1,421.16

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Solution

The fourth proportional to 4,343.64, 6,516 and 1,421.16 is: 2,131.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.64 : 6,516 = 1,421.16 : x
  2. Step 2: Convert to fraction form
    4,343.64/6,516 = 1,421.16/x
  3. Step 3: Cross multiply
    4,343.64x = 6,516 × 1,421.16
  4. Step 4: Simplify right side
    4,343.64x = 9,260,278.56
  5. Step 5: Solve for x
    x = 9,260,278.56/4,343.64
  6. Step 6: Final answer
    x = 2,131.92

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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.