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Finding the Fourth Proportional to 3,705.29, 5,559.10 and 2,316.72

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Solution

The fourth proportional to 3,705.29, 5,559.10 and 2,316.72 is: 3,475.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.29 : 5,559.10 = 2,316.72 : x
  2. Step 2: Convert to fraction form
    3,705.29/5,559.10 = 2,316.72/x
  3. Step 3: Cross multiply
    3,705.29x = 5,559.10 × 2,316.72
  4. Step 4: Simplify right side
    3,705.29x = 12,878,878.15
  5. Step 5: Solve for x
    x = 12,878,878.15/3,705.29
  6. Step 6: Final answer
    x = 3,475.81

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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.