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Finding the Fourth Proportional to 4,670.38, 6,446.55 and 2,904.58

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Solution

The fourth proportional to 4,670.38, 6,446.55 and 2,904.58 is: 4,009.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.38 : 6,446.55 = 2,904.58 : x
  2. Step 2: Convert to fraction form
    4,670.38/6,446.55 = 2,904.58/x
  3. Step 3: Cross multiply
    4,670.38x = 6,446.55 × 2,904.58
  4. Step 4: Simplify right side
    4,670.38x = 18,724,520.20
  5. Step 5: Solve for x
    x = 18,724,520.20/4,670.38
  6. Step 6: Final answer
    x = 4,009.21

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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.