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Finding the Fourth Proportional to 4,534.60, 6,809.10 and 3,080.20

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Solution

The fourth proportional to 4,534.60, 6,809.10 and 3,080.20 is: 4,625.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.60 : 6,809.10 = 3,080.20 : x
  2. Step 2: Convert to fraction form
    4,534.60/6,809.10 = 3,080.20/x
  3. Step 3: Cross multiply
    4,534.60x = 6,809.10 × 3,080.20
  4. Step 4: Simplify right side
    4,534.60x = 20,973,389.82
  5. Step 5: Solve for x
    x = 20,973,389.82/4,534.60
  6. Step 6: Final answer
    x = 4,625.19

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