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Finding the Fourth Proportional to 4,670.46, 7,008.73 and 4,053.24

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Solution

The fourth proportional to 4,670.46, 7,008.73 and 4,053.24 is: 6,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.46 : 7,008.73 = 4,053.24 : x
  2. Step 2: Convert to fraction form
    4,670.46/7,008.73 = 4,053.24/x
  3. Step 3: Cross multiply
    4,670.46x = 7,008.73 × 4,053.24
  4. Step 4: Simplify right side
    4,670.46x = 28,408,054.65
  5. Step 5: Solve for x
    x = 28,408,054.65/4,670.46
  6. Step 6: Final answer
    x = 6,082.50

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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.