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Finding the Fourth Proportional to 4,697.01, 6,482.01 and 2,601.14

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Solution

The fourth proportional to 4,697.01, 6,482.01 and 2,601.14 is: 3,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.01 : 6,482.01 = 2,601.14 : x
  2. Step 2: Convert to fraction form
    4,697.01/6,482.01 = 2,601.14/x
  3. Step 3: Cross multiply
    4,697.01x = 6,482.01 × 2,601.14
  4. Step 4: Simplify right side
    4,697.01x = 16,860,583.08
  5. Step 5: Solve for x
    x = 16,860,583.08/4,697.01
  6. Step 6: Final answer
    x = 3,589.64

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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.