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Finding the Fourth Proportional to 4,855.98, 6,702 and 3,088.14

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Solution

The fourth proportional to 4,855.98, 6,702 and 3,088.14 is: 4,262.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855.98 : 6,702 = 3,088.14 : x
  2. Step 2: Convert to fraction form
    4,855.98/6,702 = 3,088.14/x
  3. Step 3: Cross multiply
    4,855.98x = 6,702 × 3,088.14
  4. Step 4: Simplify right side
    4,855.98x = 20,696,714.28
  5. Step 5: Solve for x
    x = 20,696,714.28/4,855.98
  6. Step 6: Final answer
    x = 4,262.11

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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.