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Finding the Fourth Proportional to 4,285.98, 6,430.35 and 1,822.87

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Solution

The fourth proportional to 4,285.98, 6,430.35 and 1,822.87 is: 2,734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.98 : 6,430.35 = 1,822.87 : x
  2. Step 2: Convert to fraction form
    4,285.98/6,430.35 = 1,822.87/x
  3. Step 3: Cross multiply
    4,285.98x = 6,430.35 × 1,822.87
  4. Step 4: Simplify right side
    4,285.98x = 11,721,706.98
  5. Step 5: Solve for x
    x = 11,721,706.98/4,285.98
  6. Step 6: Final answer
    x = 2,734.90

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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.