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Finding the Fourth Proportional to 5,482.53, 8,221.93 and 1,783.84

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Solution

The fourth proportional to 5,482.53, 8,221.93 and 1,783.84 is: 2,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.53 : 8,221.93 = 1,783.84 : x
  2. Step 2: Convert to fraction form
    5,482.53/8,221.93 = 1,783.84/x
  3. Step 3: Cross multiply
    5,482.53x = 8,221.93 × 1,783.84
  4. Step 4: Simplify right side
    5,482.53x = 14,666,607.61
  5. Step 5: Solve for x
    x = 14,666,607.61/5,482.53
  6. Step 6: Final answer
    x = 2,675.15

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1.5x scale

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.