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Finding the Fourth Proportional to 4,683.84, 6,468.12 and 4,056

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Solution

The fourth proportional to 4,683.84, 6,468.12 and 4,056 is: 5,601.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.84 : 6,468.12 = 4,056 : x
  2. Step 2: Convert to fraction form
    4,683.84/6,468.12 = 4,056/x
  3. Step 3: Cross multiply
    4,683.84x = 6,468.12 × 4,056
  4. Step 4: Simplify right side
    4,683.84x = 26,234,694.72
  5. Step 5: Solve for x
    x = 26,234,694.72/4,683.84
  6. Step 6: Final answer
    x = 5,601.11

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Why These Related Problems?

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