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Finding the Fourth Proportional to 3,604.75, 5,407.13 and 868.75

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Solution

The fourth proportional to 3,604.75, 5,407.13 and 868.75 is: 1,303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.75 : 5,407.13 = 868.75 : x
  2. Step 2: Convert to fraction form
    3,604.75/5,407.13 = 868.75/x
  3. Step 3: Cross multiply
    3,604.75x = 5,407.13 × 868.75
  4. Step 4: Simplify right side
    3,604.75x = 4,697,444.19
  5. Step 5: Solve for x
    x = 4,697,444.19/3,604.75
  6. Step 6: Final answer
    x = 1,303.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.