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Finding the Fourth Proportional to 3,155.55, 4,733.55 and 1,075.77

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Solution

The fourth proportional to 3,155.55, 4,733.55 and 1,075.77 is: 1,613.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.55 : 4,733.55 = 1,075.77 : x
  2. Step 2: Convert to fraction form
    3,155.55/4,733.55 = 1,075.77/x
  3. Step 3: Cross multiply
    3,155.55x = 4,733.55 × 1,075.77
  4. Step 4: Simplify right side
    3,155.55x = 5,092,211.08
  5. Step 5: Solve for x
    x = 5,092,211.08/3,155.55
  6. Step 6: Final answer
    x = 1,613.73

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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.