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Finding the Fourth Proportional to 3,894.52, 5,373.61 and 2,477.69

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Solution

The fourth proportional to 3,894.52, 5,373.61 and 2,477.69 is: 3,418.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.52 : 5,373.61 = 2,477.69 : x
  2. Step 2: Convert to fraction form
    3,894.52/5,373.61 = 2,477.69/x
  3. Step 3: Cross multiply
    3,894.52x = 5,373.61 × 2,477.69
  4. Step 4: Simplify right side
    3,894.52x = 13,314,139.76
  5. Step 5: Solve for x
    x = 13,314,139.76/3,894.52
  6. Step 6: Final answer
    x = 3,418.69

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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.