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Finding the Fourth Proportional to 5,482.02, 8,222.10 and 1,585.50

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Solution

The fourth proportional to 5,482.02, 8,222.10 and 1,585.50 is: 2,377.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.02 : 8,222.10 = 1,585.50 : x
  2. Step 2: Convert to fraction form
    5,482.02/8,222.10 = 1,585.50/x
  3. Step 3: Cross multiply
    5,482.02x = 8,222.10 × 1,585.50
  4. Step 4: Simplify right side
    5,482.02x = 13,036,139.55
  5. Step 5: Solve for x
    x = 13,036,139.55/5,482.02
  6. Step 6: Final answer
    x = 2,377.98

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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.