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Finding the Fourth Proportional to 3,875.36, 5,348.42 and 2,303.60

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Solution

The fourth proportional to 3,875.36, 5,348.42 and 2,303.60 is: 3,179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.36 : 5,348.42 = 2,303.60 : x
  2. Step 2: Convert to fraction form
    3,875.36/5,348.42 = 2,303.60/x
  3. Step 3: Cross multiply
    3,875.36x = 5,348.42 × 2,303.60
  4. Step 4: Simplify right side
    3,875.36x = 12,320,620.31
  5. Step 5: Solve for x
    x = 12,320,620.31/3,875.36
  6. Step 6: Final answer
    x = 3,179.22

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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.