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Finding the Fourth Proportional to 5,018, 6,918.40 and 4,118.40

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Solution

The fourth proportional to 5,018, 6,918.40 and 4,118.40 is: 5,678.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,018 : 6,918.40 = 4,118.40 : x
  2. Step 2: Convert to fraction form
    5,018/6,918.40 = 4,118.40/x
  3. Step 3: Cross multiply
    5,018x = 6,918.40 × 4,118.40
  4. Step 4: Simplify right side
    5,018x = 28,492,738.56
  5. Step 5: Solve for x
    x = 28,492,738.56/5,018
  6. Step 6: Final answer
    x = 5,678.11

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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.