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Finding the Fourth Proportional to 5,810.04, 8,715.02 and 1,914.44

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Solution

The fourth proportional to 5,810.04, 8,715.02 and 1,914.44 is: 2,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.04 : 8,715.02 = 1,914.44 : x
  2. Step 2: Convert to fraction form
    5,810.04/8,715.02 = 1,914.44/x
  3. Step 3: Cross multiply
    5,810.04x = 8,715.02 × 1,914.44
  4. Step 4: Simplify right side
    5,810.04x = 16,684,329.74
  5. Step 5: Solve for x
    x = 16,684,329.74/5,810.04
  6. Step 6: Final answer
    x = 2,871.64

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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.