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Finding the Fourth Proportional to 4,640.60, 6,948.70 and 4,370.84

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Solution

The fourth proportional to 4,640.60, 6,948.70 and 4,370.84 is: 6,544.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.60 : 6,948.70 = 4,370.84 : x
  2. Step 2: Convert to fraction form
    4,640.60/6,948.70 = 4,370.84/x
  3. Step 3: Cross multiply
    4,640.60x = 6,948.70 × 4,370.84
  4. Step 4: Simplify right side
    4,640.60x = 30,371,655.91
  5. Step 5: Solve for x
    x = 30,371,655.91/4,640.60
  6. Step 6: Final answer
    x = 6,544.77

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