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Finding the Fourth Proportional to 4,007.36, 6,005.92 and 1,695.68

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Solution

The fourth proportional to 4,007.36, 6,005.92 and 1,695.68 is: 2,541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.36 : 6,005.92 = 1,695.68 : x
  2. Step 2: Convert to fraction form
    4,007.36/6,005.92 = 1,695.68/x
  3. Step 3: Cross multiply
    4,007.36x = 6,005.92 × 1,695.68
  4. Step 4: Simplify right side
    4,007.36x = 10,184,118.43
  5. Step 5: Solve for x
    x = 10,184,118.43/4,007.36
  6. Step 6: Final answer
    x = 2,541.35

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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.