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Finding the Fourth Proportional to 5,903.15, 8,146.49 and 3,214.51

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Solution

The fourth proportional to 5,903.15, 8,146.49 and 3,214.51 is: 4,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.15 : 8,146.49 = 3,214.51 : x
  2. Step 2: Convert to fraction form
    5,903.15/8,146.49 = 3,214.51/x
  3. Step 3: Cross multiply
    5,903.15x = 8,146.49 × 3,214.51
  4. Step 4: Simplify right side
    5,903.15x = 26,186,973.57
  5. Step 5: Solve for x
    x = 26,186,973.57/5,903.15
  6. Step 6: Final answer
    x = 4,436.10

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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.