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Finding the Fourth Proportional to 3,307.50, 4,957.90 and 2,075.78

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Solution

The fourth proportional to 3,307.50, 4,957.90 and 2,075.78 is: 3,111.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.50 : 4,957.90 = 2,075.78 : x
  2. Step 2: Convert to fraction form
    3,307.50/4,957.90 = 2,075.78/x
  3. Step 3: Cross multiply
    3,307.50x = 4,957.90 × 2,075.78
  4. Step 4: Simplify right side
    3,307.50x = 10,291,516.87
  5. Step 5: Solve for x
    x = 10,291,516.87/3,307.50
  6. Step 6: Final answer
    x = 3,111.57

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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.