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Finding the Fourth Proportional to 5,347.65, 8,022.59 and 1,649.80

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Solution

The fourth proportional to 5,347.65, 8,022.59 and 1,649.80 is: 2,475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.65 : 8,022.59 = 1,649.80 : x
  2. Step 2: Convert to fraction form
    5,347.65/8,022.59 = 1,649.80/x
  3. Step 3: Cross multiply
    5,347.65x = 8,022.59 × 1,649.80
  4. Step 4: Simplify right side
    5,347.65x = 13,235,686.23
  5. Step 5: Solve for x
    x = 13,235,686.23/5,347.65
  6. Step 6: Final answer
    x = 2,475.05

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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.