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Finding the Fourth Proportional to 3,904.52, 5,386.91 and 2,412.77

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Solution

The fourth proportional to 3,904.52, 5,386.91 and 2,412.77 is: 3,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.52 : 5,386.91 = 2,412.77 : x
  2. Step 2: Convert to fraction form
    3,904.52/5,386.91 = 2,412.77/x
  3. Step 3: Cross multiply
    3,904.52x = 5,386.91 × 2,412.77
  4. Step 4: Simplify right side
    3,904.52x = 12,997,335.84
  5. Step 5: Solve for x
    x = 12,997,335.84/3,904.52
  6. Step 6: Final answer
    x = 3,328.80

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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.