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Finding the Fourth Proportional to 5,825.64, 8,737.23 and 1,877.25

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Solution

The fourth proportional to 5,825.64, 8,737.23 and 1,877.25 is: 2,815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.64 : 8,737.23 = 1,877.25 : x
  2. Step 2: Convert to fraction form
    5,825.64/8,737.23 = 1,877.25/x
  3. Step 3: Cross multiply
    5,825.64x = 8,737.23 × 1,877.25
  4. Step 4: Simplify right side
    5,825.64x = 16,402,004.82
  5. Step 5: Solve for x
    x = 16,402,004.82/5,825.64
  6. Step 6: Final answer
    x = 2,815.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.