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Finding the Fourth Proportional to 5,318.94, 7,975.73 and 3,098.48

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Solution

The fourth proportional to 5,318.94, 7,975.73 and 3,098.48 is: 4,646.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.94 : 7,975.73 = 3,098.48 : x
  2. Step 2: Convert to fraction form
    5,318.94/7,975.73 = 3,098.48/x
  3. Step 3: Cross multiply
    5,318.94x = 7,975.73 × 3,098.48
  4. Step 4: Simplify right side
    5,318.94x = 24,712,639.89
  5. Step 5: Solve for x
    x = 24,712,639.89/5,318.94
  6. Step 6: Final answer
    x = 4,646.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.