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Finding the Fourth Proportional to 5,356.04, 8,032.05 and 1,845.06

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Solution

The fourth proportional to 5,356.04, 8,032.05 and 1,845.06 is: 2,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.04 : 8,032.05 = 1,845.06 : x
  2. Step 2: Convert to fraction form
    5,356.04/8,032.05 = 1,845.06/x
  3. Step 3: Cross multiply
    5,356.04x = 8,032.05 × 1,845.06
  4. Step 4: Simplify right side
    5,356.04x = 14,819,614.17
  5. Step 5: Solve for x
    x = 14,819,614.17/5,356.04
  6. Step 6: Final answer
    x = 2,766.90

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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.