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Finding the Fourth Proportional to 5,804, 8,707.68 and 1,700

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Solution

The fourth proportional to 5,804, 8,707.68 and 1,700 is: 2,550.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804 : 8,707.68 = 1,700 : x
  2. Step 2: Convert to fraction form
    5,804/8,707.68 = 1,700/x
  3. Step 3: Cross multiply
    5,804x = 8,707.68 × 1,700
  4. Step 4: Simplify right side
    5,804x = 14,803,056
  5. Step 5: Solve for x
    x = 14,803,056/5,804
  6. Step 6: Final answer
    x = 2,550.49

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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.