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Finding the Fourth Proportional to 5,802.04, 8,703.78 and 1,906.84

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Solution

The fourth proportional to 5,802.04, 8,703.78 and 1,906.84 is: 2,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.04 : 8,703.78 = 1,906.84 : x
  2. Step 2: Convert to fraction form
    5,802.04/8,703.78 = 1,906.84/x
  3. Step 3: Cross multiply
    5,802.04x = 8,703.78 × 1,906.84
  4. Step 4: Simplify right side
    5,802.04x = 16,596,715.86
  5. Step 5: Solve for x
    x = 16,596,715.86/5,802.04
  6. Step 6: Final answer
    x = 2,860.50

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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.