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Finding the Fourth Proportional to 4,881.76, 6,736.76 and 2,643.60

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Solution

The fourth proportional to 4,881.76, 6,736.76 and 2,643.60 is: 3,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881.76 : 6,736.76 = 2,643.60 : x
  2. Step 2: Convert to fraction form
    4,881.76/6,736.76 = 2,643.60/x
  3. Step 3: Cross multiply
    4,881.76x = 6,736.76 × 2,643.60
  4. Step 4: Simplify right side
    4,881.76x = 17,809,298.74
  5. Step 5: Solve for x
    x = 17,809,298.74/4,881.76
  6. Step 6: Final answer
    x = 3,648.13

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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.