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Finding the Fourth Proportional to 3,751.76, 5,626.44 and 2,594

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Solution

The fourth proportional to 3,751.76, 5,626.44 and 2,594 is: 3,890.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.76 : 5,626.44 = 2,594 : x
  2. Step 2: Convert to fraction form
    3,751.76/5,626.44 = 2,594/x
  3. Step 3: Cross multiply
    3,751.76x = 5,626.44 × 2,594
  4. Step 4: Simplify right side
    3,751.76x = 14,594,985.36
  5. Step 5: Solve for x
    x = 14,594,985.36/3,751.76
  6. Step 6: Final answer
    x = 3,890.17

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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.