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Finding the Fourth Proportional to 5,153.68, 7,730.52 and 3,114.64

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Solution

The fourth proportional to 5,153.68, 7,730.52 and 3,114.64 is: 4,671.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.68 : 7,730.52 = 3,114.64 : x
  2. Step 2: Convert to fraction form
    5,153.68/7,730.52 = 3,114.64/x
  3. Step 3: Cross multiply
    5,153.68x = 7,730.52 × 3,114.64
  4. Step 4: Simplify right side
    5,153.68x = 24,077,786.81
  5. Step 5: Solve for x
    x = 24,077,786.81/5,153.68
  6. Step 6: Final answer
    x = 4,671.96

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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.