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Finding the Fourth Proportional to 3,498.66, 4,828.05 and 1,905.35

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Solution

The fourth proportional to 3,498.66, 4,828.05 and 1,905.35 is: 2,629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.66 : 4,828.05 = 1,905.35 : x
  2. Step 2: Convert to fraction form
    3,498.66/4,828.05 = 1,905.35/x
  3. Step 3: Cross multiply
    3,498.66x = 4,828.05 × 1,905.35
  4. Step 4: Simplify right side
    3,498.66x = 9,199,100.93
  5. Step 5: Solve for x
    x = 9,199,100.93/3,498.66
  6. Step 6: Final answer
    x = 2,629.32

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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.