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Finding the Fourth Proportional to 6,451.51, 8,904.98 and 4,213.74

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Solution

The fourth proportional to 6,451.51, 8,904.98 and 4,213.74 is: 5,816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.51 : 8,904.98 = 4,213.74 : x
  2. Step 2: Convert to fraction form
    6,451.51/8,904.98 = 4,213.74/x
  3. Step 3: Cross multiply
    6,451.51x = 8,904.98 × 4,213.74
  4. Step 4: Simplify right side
    6,451.51x = 37,523,270.43
  5. Step 5: Solve for x
    x = 37,523,270.43/6,451.51
  6. Step 6: Final answer
    x = 5,816.20

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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.