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Finding the Fourth Proportional to 4,705.96, 7,058.04 and 1,783.30

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Solution

The fourth proportional to 4,705.96, 7,058.04 and 1,783.30 is: 2,674.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.96 : 7,058.04 = 1,783.30 : x
  2. Step 2: Convert to fraction form
    4,705.96/7,058.04 = 1,783.30/x
  3. Step 3: Cross multiply
    4,705.96x = 7,058.04 × 1,783.30
  4. Step 4: Simplify right side
    4,705.96x = 12,586,602.73
  5. Step 5: Solve for x
    x = 12,586,602.73/4,705.96
  6. Step 6: Final answer
    x = 2,674.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.