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Finding the Fourth Proportional to 5,482.88, 7,567.58 and 3,783.77

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Solution

The fourth proportional to 5,482.88, 7,567.58 and 3,783.77 is: 5,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.88 : 7,567.58 = 3,783.77 : x
  2. Step 2: Convert to fraction form
    5,482.88/7,567.58 = 3,783.77/x
  3. Step 3: Cross multiply
    5,482.88x = 7,567.58 × 3,783.77
  4. Step 4: Simplify right side
    5,482.88x = 28,633,953.80
  5. Step 5: Solve for x
    x = 28,633,953.80/5,482.88
  6. Step 6: Final answer
    x = 5,222.43

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.