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Finding the Fourth Proportional to 4,984.32, 7,477.62 and 1,697.34

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Solution

The fourth proportional to 4,984.32, 7,477.62 and 1,697.34 is: 2,546.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.32 : 7,477.62 = 1,697.34 : x
  2. Step 2: Convert to fraction form
    4,984.32/7,477.62 = 1,697.34/x
  3. Step 3: Cross multiply
    4,984.32x = 7,477.62 × 1,697.34
  4. Step 4: Simplify right side
    4,984.32x = 12,692,063.53
  5. Step 5: Solve for x
    x = 12,692,063.53/4,984.32
  6. Step 6: Final answer
    x = 2,546.40

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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.