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Finding the Fourth Proportional to 4,808.32, 6,623.04 and 4,485.76

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Solution

The fourth proportional to 4,808.32, 6,623.04 and 4,485.76 is: 6,178.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,808.32 : 6,623.04 = 4,485.76 : x
  2. Step 2: Convert to fraction form
    4,808.32/6,623.04 = 4,485.76/x
  3. Step 3: Cross multiply
    4,808.32x = 6,623.04 × 4,485.76
  4. Step 4: Simplify right side
    4,808.32x = 29,709,367.91
  5. Step 5: Solve for x
    x = 29,709,367.91/4,808.32
  6. Step 6: Final answer
    x = 6,178.74

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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.