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Finding the Fourth Proportional to 3,457.71, 5,186.52 and 860.63

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Solution

The fourth proportional to 3,457.71, 5,186.52 and 860.63 is: 1,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.71 : 5,186.52 = 860.63 : x
  2. Step 2: Convert to fraction form
    3,457.71/5,186.52 = 860.63/x
  3. Step 3: Cross multiply
    3,457.71x = 5,186.52 × 860.63
  4. Step 4: Simplify right side
    3,457.71x = 4,463,674.71
  5. Step 5: Solve for x
    x = 4,463,674.71/3,457.71
  6. Step 6: Final answer
    x = 1,290.93

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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.