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Finding the Fourth Proportional to 5,483.84, 8,226.54 and 1,784.88

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Solution

The fourth proportional to 5,483.84, 8,226.54 and 1,784.88 is: 2,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,483.84 : 8,226.54 = 1,784.88 : x
  2. Step 2: Convert to fraction form
    5,483.84/8,226.54 = 1,784.88/x
  3. Step 3: Cross multiply
    5,483.84x = 8,226.54 × 1,784.88
  4. Step 4: Simplify right side
    5,483.84x = 14,683,386.72
  5. Step 5: Solve for x
    x = 14,683,386.72/5,483.84
  6. Step 6: Final answer
    x = 2,677.57

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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.