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Finding the Fourth Proportional to 4,281.06, 5,905.74 and 3,335.16

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Solution

The fourth proportional to 4,281.06, 5,905.74 and 3,335.16 is: 4,600.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281.06 : 5,905.74 = 3,335.16 : x
  2. Step 2: Convert to fraction form
    4,281.06/5,905.74 = 3,335.16/x
  3. Step 3: Cross multiply
    4,281.06x = 5,905.74 × 3,335.16
  4. Step 4: Simplify right side
    4,281.06x = 19,696,587.82
  5. Step 5: Solve for x
    x = 19,696,587.82/4,281.06
  6. Step 6: Final answer
    x = 4,600.87

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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.