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Finding the Fourth Proportional to 5,482.58, 8,223.93 and 1,784.82

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Solution

The fourth proportional to 5,482.58, 8,223.93 and 1,784.82 is: 2,677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.58 : 8,223.93 = 1,784.82 : x
  2. Step 2: Convert to fraction form
    5,482.58/8,223.93 = 1,784.82/x
  3. Step 3: Cross multiply
    5,482.58x = 8,223.93 × 1,784.82
  4. Step 4: Simplify right side
    5,482.58x = 14,678,234.74
  5. Step 5: Solve for x
    x = 14,678,234.74/5,482.58
  6. Step 6: Final answer
    x = 2,677.25

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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.