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Finding the Fourth Proportional to 4,285.04, 6,427.22 and 1,164.92

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Solution

The fourth proportional to 4,285.04, 6,427.22 and 1,164.92 is: 1,747.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.04 : 6,427.22 = 1,164.92 : x
  2. Step 2: Convert to fraction form
    4,285.04/6,427.22 = 1,164.92/x
  3. Step 3: Cross multiply
    4,285.04x = 6,427.22 × 1,164.92
  4. Step 4: Simplify right side
    4,285.04x = 7,487,159.16
  5. Step 5: Solve for x
    x = 7,487,159.16/4,285.04
  6. Step 6: Final answer
    x = 1,747.28

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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.