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Finding the Fourth Proportional to 4,680.86, 7,000.64 and 4,164.49

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Solution

The fourth proportional to 4,680.86, 7,000.64 and 4,164.49 is: 6,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.86 : 7,000.64 = 4,164.49 : x
  2. Step 2: Convert to fraction form
    4,680.86/7,000.64 = 4,164.49/x
  3. Step 3: Cross multiply
    4,680.86x = 7,000.64 × 4,164.49
  4. Step 4: Simplify right side
    4,680.86x = 29,154,056.95
  5. Step 5: Solve for x
    x = 29,154,056.95/4,680.86
  6. Step 6: Final answer
    x = 6,228.35

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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.