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Finding the Fourth Proportional to 4,923.74, 6,774.08 and 4,074.86

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Solution

The fourth proportional to 4,923.74, 6,774.08 and 4,074.86 is: 5,606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.74 : 6,774.08 = 4,074.86 : x
  2. Step 2: Convert to fraction form
    4,923.74/6,774.08 = 4,074.86/x
  3. Step 3: Cross multiply
    4,923.74x = 6,774.08 × 4,074.86
  4. Step 4: Simplify right side
    4,923.74x = 27,603,427.63
  5. Step 5: Solve for x
    x = 27,603,427.63/4,923.74
  6. Step 6: Final answer
    x = 5,606.19

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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.