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Finding the Fourth Proportional to 3,054.52, 4,210.32 and 2,059.48

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Solution

The fourth proportional to 3,054.52, 4,210.32 and 2,059.48 is: 2,838.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.52 : 4,210.32 = 2,059.48 : x
  2. Step 2: Convert to fraction form
    3,054.52/4,210.32 = 2,059.48/x
  3. Step 3: Cross multiply
    3,054.52x = 4,210.32 × 2,059.48
  4. Step 4: Simplify right side
    3,054.52x = 8,671,069.83
  5. Step 5: Solve for x
    x = 8,671,069.83/3,054.52
  6. Step 6: Final answer
    x = 2,838.77

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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.