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Finding the Fourth Proportional to 5,655.80, 7,802.70 and 4,080.44

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Solution

The fourth proportional to 5,655.80, 7,802.70 and 4,080.44 is: 5,629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.80 : 7,802.70 = 4,080.44 : x
  2. Step 2: Convert to fraction form
    5,655.80/7,802.70 = 4,080.44/x
  3. Step 3: Cross multiply
    5,655.80x = 7,802.70 × 4,080.44
  4. Step 4: Simplify right side
    5,655.80x = 31,838,449.19
  5. Step 5: Solve for x
    x = 31,838,449.19/5,655.80
  6. Step 6: Final answer
    x = 5,629.34

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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.