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Finding the Fourth Proportional to 3,506.42, 5,254.62 and 2,574.67

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Solution

The fourth proportional to 3,506.42, 5,254.62 and 2,574.67 is: 3,858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.42 : 5,254.62 = 2,574.67 : x
  2. Step 2: Convert to fraction form
    3,506.42/5,254.62 = 2,574.67/x
  3. Step 3: Cross multiply
    3,506.42x = 5,254.62 × 2,574.67
  4. Step 4: Simplify right side
    3,506.42x = 13,528,914.02
  5. Step 5: Solve for x
    x = 13,528,914.02/3,506.42
  6. Step 6: Final answer
    x = 3,858.32

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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.