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Finding the Fourth Proportional to 4,651.32, 6,973.26 and 3,681.72

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Solution

The fourth proportional to 4,651.32, 6,973.26 and 3,681.72 is: 5,519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.32 : 6,973.26 = 3,681.72 : x
  2. Step 2: Convert to fraction form
    4,651.32/6,973.26 = 3,681.72/x
  3. Step 3: Cross multiply
    4,651.32x = 6,973.26 × 3,681.72
  4. Step 4: Simplify right side
    4,651.32x = 25,673,590.81
  5. Step 5: Solve for x
    x = 25,673,590.81/4,651.32
  6. Step 6: Final answer
    x = 5,519.64

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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.