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Finding the Fourth Proportional to 4,554.65, 6,829.65 and 2,214.77

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Solution

The fourth proportional to 4,554.65, 6,829.65 and 2,214.77 is: 3,321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,554.65 : 6,829.65 = 2,214.77 : x
  2. Step 2: Convert to fraction form
    4,554.65/6,829.65 = 2,214.77/x
  3. Step 3: Cross multiply
    4,554.65x = 6,829.65 × 2,214.77
  4. Step 4: Simplify right side
    4,554.65x = 15,126,069.78
  5. Step 5: Solve for x
    x = 15,126,069.78/4,554.65
  6. Step 6: Final answer
    x = 3,321.02

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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.