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Finding the Fourth Proportional to 4,618.08, 6,880.68 and 4,320

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Solution

The fourth proportional to 4,618.08, 6,880.68 and 4,320 is: 6,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,618.08 : 6,880.68 = 4,320 : x
  2. Step 2: Convert to fraction form
    4,618.08/6,880.68 = 4,320/x
  3. Step 3: Cross multiply
    4,618.08x = 6,880.68 × 4,320
  4. Step 4: Simplify right side
    4,618.08x = 29,724,537.60
  5. Step 5: Solve for x
    x = 29,724,537.60/4,618.08
  6. Step 6: Final answer
    x = 6,436.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.