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Finding the Fourth Proportional to 4,678.61, 7,016.08 and 1,755.32

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Solution

The fourth proportional to 4,678.61, 7,016.08 and 1,755.32 is: 2,632.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.61 : 7,016.08 = 1,755.32 : x
  2. Step 2: Convert to fraction form
    4,678.61/7,016.08 = 1,755.32/x
  3. Step 3: Cross multiply
    4,678.61x = 7,016.08 × 1,755.32
  4. Step 4: Simplify right side
    4,678.61x = 12,315,465.55
  5. Step 5: Solve for x
    x = 12,315,465.55/4,678.61
  6. Step 6: Final answer
    x = 2,632.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.