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Finding the Fourth Proportional to 3,774.63, 5,205.83 and 2,430.45

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Solution

The fourth proportional to 3,774.63, 5,205.83 and 2,430.45 is: 3,351.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.63 : 5,205.83 = 2,430.45 : x
  2. Step 2: Convert to fraction form
    3,774.63/5,205.83 = 2,430.45/x
  3. Step 3: Cross multiply
    3,774.63x = 5,205.83 × 2,430.45
  4. Step 4: Simplify right side
    3,774.63x = 12,652,497.37
  5. Step 5: Solve for x
    x = 12,652,497.37/3,774.63
  6. Step 6: Final answer
    x = 3,351.98

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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.