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Finding the Fourth Proportional to 6,454.32, 8,898.45 and 4,212.30

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Solution

The fourth proportional to 6,454.32, 8,898.45 and 4,212.30 is: 5,807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.32 : 8,898.45 = 4,212.30 : x
  2. Step 2: Convert to fraction form
    6,454.32/8,898.45 = 4,212.30/x
  3. Step 3: Cross multiply
    6,454.32x = 8,898.45 × 4,212.30
  4. Step 4: Simplify right side
    6,454.32x = 37,482,940.94
  5. Step 5: Solve for x
    x = 37,482,940.94/6,454.32
  6. Step 6: Final answer
    x = 5,807.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.