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Finding the Fourth Proportional to 5,267.74, 7,895.04 and 2,929

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Solution

The fourth proportional to 5,267.74, 7,895.04 and 2,929 is: 4,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.74 : 7,895.04 = 2,929 : x
  2. Step 2: Convert to fraction form
    5,267.74/7,895.04 = 2,929/x
  3. Step 3: Cross multiply
    5,267.74x = 7,895.04 × 2,929
  4. Step 4: Simplify right side
    5,267.74x = 23,124,572.16
  5. Step 5: Solve for x
    x = 23,124,572.16/5,267.74
  6. Step 6: Final answer
    x = 4,389.85

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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.