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Finding the Fourth Proportional to 5,852.76, 8,737.41 and 5,647.72

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Solution

The fourth proportional to 5,852.76, 8,737.41 and 5,647.72 is: 8,431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.76 : 8,737.41 = 5,647.72 : x
  2. Step 2: Convert to fraction form
    5,852.76/8,737.41 = 5,647.72/x
  3. Step 3: Cross multiply
    5,852.76x = 8,737.41 × 5,647.72
  4. Step 4: Simplify right side
    5,852.76x = 49,346,445.21
  5. Step 5: Solve for x
    x = 49,346,445.21/5,852.76
  6. Step 6: Final answer
    x = 8,431.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.