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Finding the Fourth Proportional to 3,875.04, 5,345.12 and 2,302

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Solution

The fourth proportional to 3,875.04, 5,345.12 and 2,302 is: 3,175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.04 : 5,345.12 = 2,302 : x
  2. Step 2: Convert to fraction form
    3,875.04/5,345.12 = 2,302/x
  3. Step 3: Cross multiply
    3,875.04x = 5,345.12 × 2,302
  4. Step 4: Simplify right side
    3,875.04x = 12,304,466.24
  5. Step 5: Solve for x
    x = 12,304,466.24/3,875.04
  6. Step 6: Final answer
    x = 3,175.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.