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Finding the Fourth Proportional to 5,814.98, 8,722.36 and 1,655.02

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Solution

The fourth proportional to 5,814.98, 8,722.36 and 1,655.02 is: 2,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.98 : 8,722.36 = 1,655.02 : x
  2. Step 2: Convert to fraction form
    5,814.98/8,722.36 = 1,655.02/x
  3. Step 3: Cross multiply
    5,814.98x = 8,722.36 × 1,655.02
  4. Step 4: Simplify right side
    5,814.98x = 14,435,680.25
  5. Step 5: Solve for x
    x = 14,435,680.25/5,814.98
  6. Step 6: Final answer
    x = 2,482.50

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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.