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Finding the Fourth Proportional to 6,428.57, 8,875.30 and 4,194.32

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Solution

The fourth proportional to 6,428.57, 8,875.30 and 4,194.32 is: 5,790.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.57 : 8,875.30 = 4,194.32 : x
  2. Step 2: Convert to fraction form
    6,428.57/8,875.30 = 4,194.32/x
  3. Step 3: Cross multiply
    6,428.57x = 8,875.30 × 4,194.32
  4. Step 4: Simplify right side
    6,428.57x = 37,225,848.30
  5. Step 5: Solve for x
    x = 37,225,848.30/6,428.57
  6. Step 6: Final answer
    x = 5,790.69

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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.