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Finding the Fourth Proportional to 4,823.89, 7,236.71 and 1,705.72

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Solution

The fourth proportional to 4,823.89, 7,236.71 and 1,705.72 is: 2,558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.89 : 7,236.71 = 1,705.72 : x
  2. Step 2: Convert to fraction form
    4,823.89/7,236.71 = 1,705.72/x
  3. Step 3: Cross multiply
    4,823.89x = 7,236.71 × 1,705.72
  4. Step 4: Simplify right side
    4,823.89x = 12,343,800.98
  5. Step 5: Solve for x
    x = 12,343,800.98/4,823.89
  6. Step 6: Final answer
    x = 2,558.89

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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.