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Finding the Fourth Proportional to 5,835.60, 8,750.77 and 1,674.67

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Solution

The fourth proportional to 5,835.60, 8,750.77 and 1,674.67 is: 2,511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.60 : 8,750.77 = 1,674.67 : x
  2. Step 2: Convert to fraction form
    5,835.60/8,750.77 = 1,674.67/x
  3. Step 3: Cross multiply
    5,835.60x = 8,750.77 × 1,674.67
  4. Step 4: Simplify right side
    5,835.60x = 14,654,625.93
  5. Step 5: Solve for x
    x = 14,654,625.93/5,835.60
  6. Step 6: Final answer
    x = 2,511.25

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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.