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Finding the Fourth Proportional to 4,874.04, 7,313.22 and 2,565

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Solution

The fourth proportional to 4,874.04, 7,313.22 and 2,565 is: 3,848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.04 : 7,313.22 = 2,565 : x
  2. Step 2: Convert to fraction form
    4,874.04/7,313.22 = 2,565/x
  3. Step 3: Cross multiply
    4,874.04x = 7,313.22 × 2,565
  4. Step 4: Simplify right side
    4,874.04x = 18,758,409.30
  5. Step 5: Solve for x
    x = 18,758,409.30/4,874.04
  6. Step 6: Final answer
    x = 3,848.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.