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Finding the Fourth Proportional to 5,482.84, 8,225.04 and 1,783.88

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Solution

The fourth proportional to 5,482.84, 8,225.04 and 1,783.88 is: 2,676.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.84 : 8,225.04 = 1,783.88 : x
  2. Step 2: Convert to fraction form
    5,482.84/8,225.04 = 1,783.88/x
  3. Step 3: Cross multiply
    5,482.84x = 8,225.04 × 1,783.88
  4. Step 4: Simplify right side
    5,482.84x = 14,672,484.36
  5. Step 5: Solve for x
    x = 14,672,484.36/5,482.84
  6. Step 6: Final answer
    x = 2,676.07

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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.