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Finding the Fourth Proportional to 3,946.32, 5,445.54 and 2,178

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Solution

The fourth proportional to 3,946.32, 5,445.54 and 2,178 is: 3,005.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.32 : 5,445.54 = 2,178 : x
  2. Step 2: Convert to fraction form
    3,946.32/5,445.54 = 2,178/x
  3. Step 3: Cross multiply
    3,946.32x = 5,445.54 × 2,178
  4. Step 4: Simplify right side
    3,946.32x = 11,860,386.12
  5. Step 5: Solve for x
    x = 11,860,386.12/3,946.32
  6. Step 6: Final answer
    x = 3,005.43

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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.