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Finding the Fourth Proportional to 4,497.84, 6,207 and 3,007.92

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Solution

The fourth proportional to 4,497.84, 6,207 and 3,007.92 is: 4,150.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.84 : 6,207 = 3,007.92 : x
  2. Step 2: Convert to fraction form
    4,497.84/6,207 = 3,007.92/x
  3. Step 3: Cross multiply
    4,497.84x = 6,207 × 3,007.92
  4. Step 4: Simplify right side
    4,497.84x = 18,670,159.44
  5. Step 5: Solve for x
    x = 18,670,159.44/4,497.84
  6. Step 6: Final answer
    x = 4,150.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.