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Finding the Fourth Proportional to 4,574.35, 6,312.22 and 2,585.26

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Solution

The fourth proportional to 4,574.35, 6,312.22 and 2,585.26 is: 3,567.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.35 : 6,312.22 = 2,585.26 : x
  2. Step 2: Convert to fraction form
    4,574.35/6,312.22 = 2,585.26/x
  3. Step 3: Cross multiply
    4,574.35x = 6,312.22 × 2,585.26
  4. Step 4: Simplify right side
    4,574.35x = 16,318,729.88
  5. Step 5: Solve for x
    x = 16,318,729.88/4,574.35
  6. Step 6: Final answer
    x = 3,567.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.