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Finding the Fourth Proportional to 3,135.74, 4,699.56 and 1,492.79

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Solution

The fourth proportional to 3,135.74, 4,699.56 and 1,492.79 is: 2,237.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.74 : 4,699.56 = 1,492.79 : x
  2. Step 2: Convert to fraction form
    3,135.74/4,699.56 = 1,492.79/x
  3. Step 3: Cross multiply
    3,135.74x = 4,699.56 × 1,492.79
  4. Step 4: Simplify right side
    3,135.74x = 7,015,456.17
  5. Step 5: Solve for x
    x = 7,015,456.17/3,135.74
  6. Step 6: Final answer
    x = 2,237.26

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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.