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Finding the Fourth Proportional to 5,473.72, 8,210.63 and 1,775.95

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Solution

The fourth proportional to 5,473.72, 8,210.63 and 1,775.95 is: 2,663.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.72 : 8,210.63 = 1,775.95 : x
  2. Step 2: Convert to fraction form
    5,473.72/8,210.63 = 1,775.95/x
  3. Step 3: Cross multiply
    5,473.72x = 8,210.63 × 1,775.95
  4. Step 4: Simplify right side
    5,473.72x = 14,581,668.35
  5. Step 5: Solve for x
    x = 14,581,668.35/5,473.72
  6. Step 6: Final answer
    x = 2,663.94

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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.