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Finding the Fourth Proportional to 3,094.47, 4,643.10 and 1,536.03

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Solution

The fourth proportional to 3,094.47, 4,643.10 and 1,536.03 is: 2,304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.47 : 4,643.10 = 1,536.03 : x
  2. Step 2: Convert to fraction form
    3,094.47/4,643.10 = 1,536.03/x
  3. Step 3: Cross multiply
    3,094.47x = 4,643.10 × 1,536.03
  4. Step 4: Simplify right side
    3,094.47x = 7,131,940.89
  5. Step 5: Solve for x
    x = 7,131,940.89/3,094.47
  6. Step 6: Final answer
    x = 2,304.74

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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.