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Finding the Fourth Proportional to 5,651.62, 8,482.68 and 4,071.98

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Solution

The fourth proportional to 5,651.62, 8,482.68 and 4,071.98 is: 6,111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.62 : 8,482.68 = 4,071.98 : x
  2. Step 2: Convert to fraction form
    5,651.62/8,482.68 = 4,071.98/x
  3. Step 3: Cross multiply
    5,651.62x = 8,482.68 × 4,071.98
  4. Step 4: Simplify right side
    5,651.62x = 34,541,303.31
  5. Step 5: Solve for x
    x = 34,541,303.31/5,651.62
  6. Step 6: Final answer
    x = 6,111.75

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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.