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Finding the Fourth Proportional to 4,838.61, 6,683.55 and 4,002.69

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Solution

The fourth proportional to 4,838.61, 6,683.55 and 4,002.69 is: 5,528.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.61 : 6,683.55 = 4,002.69 : x
  2. Step 2: Convert to fraction form
    4,838.61/6,683.55 = 4,002.69/x
  3. Step 3: Cross multiply
    4,838.61x = 6,683.55 × 4,002.69
  4. Step 4: Simplify right side
    4,838.61x = 26,752,178.75
  5. Step 5: Solve for x
    x = 26,752,178.75/4,838.61
  6. Step 6: Final answer
    x = 5,528.90

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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.