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Finding the Fourth Proportional to 3,657.36, 5,485.06 and 1,024.71

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Solution

The fourth proportional to 3,657.36, 5,485.06 and 1,024.71 is: 1,536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.36 : 5,485.06 = 1,024.71 : x
  2. Step 2: Convert to fraction form
    3,657.36/5,485.06 = 1,024.71/x
  3. Step 3: Cross multiply
    3,657.36x = 5,485.06 × 1,024.71
  4. Step 4: Simplify right side
    3,657.36x = 5,620,590.71
  5. Step 5: Solve for x
    x = 5,620,590.71/3,657.36
  6. Step 6: Final answer
    x = 1,536.79

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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.