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Finding the Fourth Proportional to 5,825.51, 8,737.45 and 1,877.17

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Solution

The fourth proportional to 5,825.51, 8,737.45 and 1,877.17 is: 2,815.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.51 : 8,737.45 = 1,877.17 : x
  2. Step 2: Convert to fraction form
    5,825.51/8,737.45 = 1,877.17/x
  3. Step 3: Cross multiply
    5,825.51x = 8,737.45 × 1,877.17
  4. Step 4: Simplify right side
    5,825.51x = 16,401,679.02
  5. Step 5: Solve for x
    x = 16,401,679.02/5,825.51
  6. Step 6: Final answer
    x = 2,815.49

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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.