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Finding the Fourth Proportional to 5,510.94, 8,263.67 and 1,762.25

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Solution

The fourth proportional to 5,510.94, 8,263.67 and 1,762.25 is: 2,642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510.94 : 8,263.67 = 1,762.25 : x
  2. Step 2: Convert to fraction form
    5,510.94/8,263.67 = 1,762.25/x
  3. Step 3: Cross multiply
    5,510.94x = 8,263.67 × 1,762.25
  4. Step 4: Simplify right side
    5,510.94x = 14,562,602.33
  5. Step 5: Solve for x
    x = 14,562,602.33/5,510.94
  6. Step 6: Final answer
    x = 2,642.49

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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.