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Finding the Fourth Proportional to 4,690.33, 7,036.54 and 1,768.66

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Solution

The fourth proportional to 4,690.33, 7,036.54 and 1,768.66 is: 2,653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.33 : 7,036.54 = 1,768.66 : x
  2. Step 2: Convert to fraction form
    4,690.33/7,036.54 = 1,768.66/x
  3. Step 3: Cross multiply
    4,690.33x = 7,036.54 × 1,768.66
  4. Step 4: Simplify right side
    4,690.33x = 12,445,237.99
  5. Step 5: Solve for x
    x = 12,445,237.99/4,690.33
  6. Step 6: Final answer
    x = 2,653.38

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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.