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Finding the Fourth Proportional to 3,485.36, 5,225.08 and 1,536.08

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Solution

The fourth proportional to 3,485.36, 5,225.08 and 1,536.08 is: 2,302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.36 : 5,225.08 = 1,536.08 : x
  2. Step 2: Convert to fraction form
    3,485.36/5,225.08 = 1,536.08/x
  3. Step 3: Cross multiply
    3,485.36x = 5,225.08 × 1,536.08
  4. Step 4: Simplify right side
    3,485.36x = 8,026,140.89
  5. Step 5: Solve for x
    x = 8,026,140.89/3,485.36
  6. Step 6: Final answer
    x = 2,302.82

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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.