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Finding the Fourth Proportional to 3,075.96, 4,612.86 and 1,904.16

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Solution

The fourth proportional to 3,075.96, 4,612.86 and 1,904.16 is: 2,855.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.96 : 4,612.86 = 1,904.16 : x
  2. Step 2: Convert to fraction form
    3,075.96/4,612.86 = 1,904.16/x
  3. Step 3: Cross multiply
    3,075.96x = 4,612.86 × 1,904.16
  4. Step 4: Simplify right side
    3,075.96x = 8,783,623.50
  5. Step 5: Solve for x
    x = 8,783,623.50/3,075.96
  6. Step 6: Final answer
    x = 2,855.57

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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.