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Finding the Fourth Proportional to 4,656.09, 6,984.36 and 1,536.08

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Solution

The fourth proportional to 4,656.09, 6,984.36 and 1,536.08 is: 2,304.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.09 : 6,984.36 = 1,536.08 : x
  2. Step 2: Convert to fraction form
    4,656.09/6,984.36 = 1,536.08/x
  3. Step 3: Cross multiply
    4,656.09x = 6,984.36 × 1,536.08
  4. Step 4: Simplify right side
    4,656.09x = 10,728,521.22
  5. Step 5: Solve for x
    x = 10,728,521.22/4,656.09
  6. Step 6: Final answer
    x = 2,304.19

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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.