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Finding the Fourth Proportional to 4,737.75, 7,097.31 and 4,468.02

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Solution

The fourth proportional to 4,737.75, 7,097.31 and 4,468.02 is: 6,693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.75 : 7,097.31 = 4,468.02 : x
  2. Step 2: Convert to fraction form
    4,737.75/7,097.31 = 4,468.02/x
  3. Step 3: Cross multiply
    4,737.75x = 7,097.31 × 4,468.02
  4. Step 4: Simplify right side
    4,737.75x = 31,710,923.03
  5. Step 5: Solve for x
    x = 31,710,923.03/4,737.75
  6. Step 6: Final answer
    x = 6,693.25

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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.