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Finding the Fourth Proportional to 5,141.64, 7,095.06 and 2,904.06

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Solution

The fourth proportional to 5,141.64, 7,095.06 and 2,904.06 is: 4,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.64 : 7,095.06 = 2,904.06 : x
  2. Step 2: Convert to fraction form
    5,141.64/7,095.06 = 2,904.06/x
  3. Step 3: Cross multiply
    5,141.64x = 7,095.06 × 2,904.06
  4. Step 4: Simplify right side
    5,141.64x = 20,604,479.94
  5. Step 5: Solve for x
    x = 20,604,479.94/5,141.64
  6. Step 6: Final answer
    x = 4,007.38

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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.