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Finding the Fourth Proportional to 4,699.49, 7,043.08 and 1,923

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Solution

The fourth proportional to 4,699.49, 7,043.08 and 1,923 is: 2,881.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.49 : 7,043.08 = 1,923 : x
  2. Step 2: Convert to fraction form
    4,699.49/7,043.08 = 1,923/x
  3. Step 3: Cross multiply
    4,699.49x = 7,043.08 × 1,923
  4. Step 4: Simplify right side
    4,699.49x = 13,543,842.84
  5. Step 5: Solve for x
    x = 13,543,842.84/4,699.49
  6. Step 6: Final answer
    x = 2,881.98

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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.