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Finding the Fourth Proportional to 7,154.50, 10,732.91 and 3,457.00

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Solution

The fourth proportional to 7,154.50, 10,732.91 and 3,457.00 is: 5,186.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.50 : 10,732.91 = 3,457.00 : x
  2. Step 2: Convert to fraction form
    7,154.50/10,732.91 = 3,457.00/x
  3. Step 3: Cross multiply
    7,154.50x = 10,732.91 × 3,457.00
  4. Step 4: Simplify right side
    7,154.50x = 37,103,696.19
  5. Step 5: Solve for x
    x = 37,103,696.19/7,154.50
  6. Step 6: Final answer
    x = 5,186.06

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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.