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Finding the Fourth Proportional to 5,852.76, 8,810.94 and 5,250

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Solution

The fourth proportional to 5,852.76, 8,810.94 and 5,250 is: 7,903.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.76 : 8,810.94 = 5,250 : x
  2. Step 2: Convert to fraction form
    5,852.76/8,810.94 = 5,250/x
  3. Step 3: Cross multiply
    5,852.76x = 8,810.94 × 5,250
  4. Step 4: Simplify right side
    5,852.76x = 46,257,435
  5. Step 5: Solve for x
    x = 46,257,435/5,852.76
  6. Step 6: Final answer
    x = 7,903.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.