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Finding the Fourth Proportional to 5,804.65, 8,706.84 and 1,422.08

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Solution

The fourth proportional to 5,804.65, 8,706.84 and 1,422.08 is: 2,133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.65 : 8,706.84 = 1,422.08 : x
  2. Step 2: Convert to fraction form
    5,804.65/8,706.84 = 1,422.08/x
  3. Step 3: Cross multiply
    5,804.65x = 8,706.84 × 1,422.08
  4. Step 4: Simplify right side
    5,804.65x = 12,381,823.03
  5. Step 5: Solve for x
    x = 12,381,823.03/5,804.65
  6. Step 6: Final answer
    x = 2,133.09

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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.