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Finding the Fourth Proportional to 4,705.80, 7,058.96 and 1,585.54

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Solution

The fourth proportional to 4,705.80, 7,058.96 and 1,585.54 is: 2,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.80 : 7,058.96 = 1,585.54 : x
  2. Step 2: Convert to fraction form
    4,705.80/7,058.96 = 1,585.54/x
  3. Step 3: Cross multiply
    4,705.80x = 7,058.96 × 1,585.54
  4. Step 4: Simplify right side
    4,705.80x = 11,192,263.44
  5. Step 5: Solve for x
    x = 11,192,263.44/4,705.80
  6. Step 6: Final answer
    x = 2,378.40

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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.