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Finding the Fourth Proportional to 6,046.68, 8,346.78 and 5,880.24

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Solution

The fourth proportional to 6,046.68, 8,346.78 and 5,880.24 is: 8,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.68 : 8,346.78 = 5,880.24 : x
  2. Step 2: Convert to fraction form
    6,046.68/8,346.78 = 5,880.24/x
  3. Step 3: Cross multiply
    6,046.68x = 8,346.78 × 5,880.24
  4. Step 4: Simplify right side
    6,046.68x = 49,081,069.63
  5. Step 5: Solve for x
    x = 49,081,069.63/6,046.68
  6. Step 6: Final answer
    x = 8,117.03

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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.