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Finding the Fourth Proportional to 5,705.06, 8,559.63 and 4,074.39

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Solution

The fourth proportional to 5,705.06, 8,559.63 and 4,074.39 is: 6,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.06 : 8,559.63 = 4,074.39 : x
  2. Step 2: Convert to fraction form
    5,705.06/8,559.63 = 4,074.39/x
  3. Step 3: Cross multiply
    5,705.06x = 8,559.63 × 4,074.39
  4. Step 4: Simplify right side
    5,705.06x = 34,875,270.88
  5. Step 5: Solve for x
    x = 34,875,270.88/5,705.06
  6. Step 6: Final answer
    x = 6,113.05

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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.