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Finding the Fourth Proportional to 4,334.65, 6,502.01 and 1,412.98

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Solution

The fourth proportional to 4,334.65, 6,502.01 and 1,412.98 is: 2,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.65 : 6,502.01 = 1,412.98 : x
  2. Step 2: Convert to fraction form
    4,334.65/6,502.01 = 1,412.98/x
  3. Step 3: Cross multiply
    4,334.65x = 6,502.01 × 1,412.98
  4. Step 4: Simplify right side
    4,334.65x = 9,187,186.77
  5. Step 5: Solve for x
    x = 9,187,186.77/4,334.65
  6. Step 6: Final answer
    x = 2,119.48

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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.