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Finding the Fourth Proportional to 5,705.10, 8,564.05 and 4,412.30

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Solution

The fourth proportional to 5,705.10, 8,564.05 and 4,412.30 is: 6,623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.10 : 8,564.05 = 4,412.30 : x
  2. Step 2: Convert to fraction form
    5,705.10/8,564.05 = 4,412.30/x
  3. Step 3: Cross multiply
    5,705.10x = 8,564.05 × 4,412.30
  4. Step 4: Simplify right side
    5,705.10x = 37,787,157.82
  5. Step 5: Solve for x
    x = 37,787,157.82/5,705.10
  6. Step 6: Final answer
    x = 6,623.40

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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.