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Finding the Fourth Proportional to 3,477.66, 4,798.91 and 1,985.38

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Solution

The fourth proportional to 3,477.66, 4,798.91 and 1,985.38 is: 2,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.66 : 4,798.91 = 1,985.38 : x
  2. Step 2: Convert to fraction form
    3,477.66/4,798.91 = 1,985.38/x
  3. Step 3: Cross multiply
    3,477.66x = 4,798.91 × 1,985.38
  4. Step 4: Simplify right side
    3,477.66x = 9,527,626.01
  5. Step 5: Solve for x
    x = 9,527,626.01/3,477.66
  6. Step 6: Final answer
    x = 2,739.67

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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.