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Finding the Fourth Proportional to 4,802.88, 6,627.92 and 2,678.40

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Solution

The fourth proportional to 4,802.88, 6,627.92 and 2,678.40 is: 3,696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.88 : 6,627.92 = 2,678.40 : x
  2. Step 2: Convert to fraction form
    4,802.88/6,627.92 = 2,678.40/x
  3. Step 3: Cross multiply
    4,802.88x = 6,627.92 × 2,678.40
  4. Step 4: Simplify right side
    4,802.88x = 17,752,220.93
  5. Step 5: Solve for x
    x = 17,752,220.93/4,802.88
  6. Step 6: Final answer
    x = 3,696.16

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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.