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Finding the Fourth Proportional to 3,807.54, 5,254.05 and 2,128.77

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Solution

The fourth proportional to 3,807.54, 5,254.05 and 2,128.77 is: 2,937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.54 : 5,254.05 = 2,128.77 : x
  2. Step 2: Convert to fraction form
    3,807.54/5,254.05 = 2,128.77/x
  3. Step 3: Cross multiply
    3,807.54x = 5,254.05 × 2,128.77
  4. Step 4: Simplify right side
    3,807.54x = 11,184,664.02
  5. Step 5: Solve for x
    x = 11,184,664.02/3,807.54
  6. Step 6: Final answer
    x = 2,937.50

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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.