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Finding the Fourth Proportional to 5,802.96, 8,696.76 and 2,718.48

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Solution

The fourth proportional to 5,802.96, 8,696.76 and 2,718.48 is: 4,074.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.96 : 8,696.76 = 2,718.48 : x
  2. Step 2: Convert to fraction form
    5,802.96/8,696.76 = 2,718.48/x
  3. Step 3: Cross multiply
    5,802.96x = 8,696.76 × 2,718.48
  4. Step 4: Simplify right side
    5,802.96x = 23,641,968.12
  5. Step 5: Solve for x
    x = 23,641,968.12/5,802.96
  6. Step 6: Final answer
    x = 4,074.12

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Why These Related Problems?

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