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Finding the Fourth Proportional to 4,552.84, 6,829.40 and 1,779.40

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Solution

The fourth proportional to 4,552.84, 6,829.40 and 1,779.40 is: 2,669.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.84 : 6,829.40 = 1,779.40 : x
  2. Step 2: Convert to fraction form
    4,552.84/6,829.40 = 1,779.40/x
  3. Step 3: Cross multiply
    4,552.84x = 6,829.40 × 1,779.40
  4. Step 4: Simplify right side
    4,552.84x = 12,152,234.36
  5. Step 5: Solve for x
    x = 12,152,234.36/4,552.84
  6. Step 6: Final answer
    x = 2,669.15

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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.