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Finding the Fourth Proportional to 6,477.76, 8,935.14 and 3,825.01

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Solution

The fourth proportional to 6,477.76, 8,935.14 and 3,825.01 is: 5,276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.76 : 8,935.14 = 3,825.01 : x
  2. Step 2: Convert to fraction form
    6,477.76/8,935.14 = 3,825.01/x
  3. Step 3: Cross multiply
    6,477.76x = 8,935.14 × 3,825.01
  4. Step 4: Simplify right side
    6,477.76x = 34,176,999.85
  5. Step 5: Solve for x
    x = 34,176,999.85/6,477.76
  6. Step 6: Final answer
    x = 5,276.05

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Why These Related Problems?

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