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Finding the Fourth Proportional to 3,459.69, 4,774.37 and 1,887.78

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Solution

The fourth proportional to 3,459.69, 4,774.37 and 1,887.78 is: 2,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.69 : 4,774.37 = 1,887.78 : x
  2. Step 2: Convert to fraction form
    3,459.69/4,774.37 = 1,887.78/x
  3. Step 3: Cross multiply
    3,459.69x = 4,774.37 × 1,887.78
  4. Step 4: Simplify right side
    3,459.69x = 9,012,960.20
  5. Step 5: Solve for x
    x = 9,012,960.20/3,459.69
  6. Step 6: Final answer
    x = 2,605.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.