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Finding the Fourth Proportional to 6,429.54, 8,873.74 and 4,071.90

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Solution

The fourth proportional to 6,429.54, 8,873.74 and 4,071.90 is: 5,619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.54 : 8,873.74 = 4,071.90 : x
  2. Step 2: Convert to fraction form
    6,429.54/8,873.74 = 4,071.90/x
  3. Step 3: Cross multiply
    6,429.54x = 8,873.74 × 4,071.90
  4. Step 4: Simplify right side
    6,429.54x = 36,132,981.91
  5. Step 5: Solve for x
    x = 36,132,981.91/6,429.54
  6. Step 6: Final answer
    x = 5,619.84

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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.