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Finding the Fourth Proportional to 3,875.08, 5,345.16 and 2,302

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Solution

The fourth proportional to 3,875.08, 5,345.16 and 2,302 is: 3,175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.08 : 5,345.16 = 2,302 : x
  2. Step 2: Convert to fraction form
    3,875.08/5,345.16 = 2,302/x
  3. Step 3: Cross multiply
    3,875.08x = 5,345.16 × 2,302
  4. Step 4: Simplify right side
    3,875.08x = 12,304,558.32
  5. Step 5: Solve for x
    x = 12,304,558.32/3,875.08
  6. Step 6: Final answer
    x = 3,175.30

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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.