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Finding the Fourth Proportional to 3,580.64, 5,362.70 and 2,587.16

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Solution

The fourth proportional to 3,580.64, 5,362.70 and 2,587.16 is: 3,874.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.64 : 5,362.70 = 2,587.16 : x
  2. Step 2: Convert to fraction form
    3,580.64/5,362.70 = 2,587.16/x
  3. Step 3: Cross multiply
    3,580.64x = 5,362.70 × 2,587.16
  4. Step 4: Simplify right side
    3,580.64x = 13,874,162.93
  5. Step 5: Solve for x
    x = 13,874,162.93/3,580.64
  6. Step 6: Final answer
    x = 3,874.77

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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.