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Finding the Fourth Proportional to 4,622.16, 6,933.32 and 1,159.44

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Solution

The fourth proportional to 4,622.16, 6,933.32 and 1,159.44 is: 1,739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622.16 : 6,933.32 = 1,159.44 : x
  2. Step 2: Convert to fraction form
    4,622.16/6,933.32 = 1,159.44/x
  3. Step 3: Cross multiply
    4,622.16x = 6,933.32 × 1,159.44
  4. Step 4: Simplify right side
    4,622.16x = 8,038,768.54
  5. Step 5: Solve for x
    x = 8,038,768.54/4,622.16
  6. Step 6: Final answer
    x = 1,739.18

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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.