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Finding the Fourth Proportional to 5,005.65, 6,901.20 and 4,106.09

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Solution

The fourth proportional to 5,005.65, 6,901.20 and 4,106.09 is: 5,661.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.65 : 6,901.20 = 4,106.09 : x
  2. Step 2: Convert to fraction form
    5,005.65/6,901.20 = 4,106.09/x
  3. Step 3: Cross multiply
    5,005.65x = 6,901.20 × 4,106.09
  4. Step 4: Simplify right side
    5,005.65x = 28,336,965.56
  5. Step 5: Solve for x
    x = 28,336,965.56/5,005.65
  6. Step 6: Final answer
    x = 5,661.00

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