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Finding the Fourth Proportional to 3,903.57, 5,386.80 and 2,135.19

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Solution

The fourth proportional to 3,903.57, 5,386.80 and 2,135.19 is: 2,946.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.57 : 5,386.80 = 2,135.19 : x
  2. Step 2: Convert to fraction form
    3,903.57/5,386.80 = 2,135.19/x
  3. Step 3: Cross multiply
    3,903.57x = 5,386.80 × 2,135.19
  4. Step 4: Simplify right side
    3,903.57x = 11,501,841.49
  5. Step 5: Solve for x
    x = 11,501,841.49/3,903.57
  6. Step 6: Final answer
    x = 2,946.49

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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.