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Finding the Fourth Proportional to 5,880.70, 8,822.52 and 1,985.02

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Solution

The fourth proportional to 5,880.70, 8,822.52 and 1,985.02 is: 2,978.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880.70 : 8,822.52 = 1,985.02 : x
  2. Step 2: Convert to fraction form
    5,880.70/8,822.52 = 1,985.02/x
  3. Step 3: Cross multiply
    5,880.70x = 8,822.52 × 1,985.02
  4. Step 4: Simplify right side
    5,880.70x = 17,512,878.65
  5. Step 5: Solve for x
    x = 17,512,878.65/5,880.70
  6. Step 6: Final answer
    x = 2,978.03

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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.