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Finding the Fourth Proportional to 5,866.04, 8,799.62 and 1,649.28

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Solution

The fourth proportional to 5,866.04, 8,799.62 and 1,649.28 is: 2,474.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.04 : 8,799.62 = 1,649.28 : x
  2. Step 2: Convert to fraction form
    5,866.04/8,799.62 = 1,649.28/x
  3. Step 3: Cross multiply
    5,866.04x = 8,799.62 × 1,649.28
  4. Step 4: Simplify right side
    5,866.04x = 14,513,037.27
  5. Step 5: Solve for x
    x = 14,513,037.27/5,866.04
  6. Step 6: Final answer
    x = 2,474.08

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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.