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Finding the Fourth Proportional to 3,484.47, 4,804.83 and 2,774.91

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Solution

The fourth proportional to 3,484.47, 4,804.83 and 2,774.91 is: 3,826.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.47 : 4,804.83 = 2,774.91 : x
  2. Step 2: Convert to fraction form
    3,484.47/4,804.83 = 2,774.91/x
  3. Step 3: Cross multiply
    3,484.47x = 4,804.83 × 2,774.91
  4. Step 4: Simplify right side
    3,484.47x = 13,332,970.82
  5. Step 5: Solve for x
    x = 13,332,970.82/3,484.47
  6. Step 6: Final answer
    x = 3,826.40

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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.