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Finding the Fourth Proportional to 5,112.65, 7,678.22 and 4,701.03

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Solution

The fourth proportional to 5,112.65, 7,678.22 and 4,701.03 is: 7,060.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.65 : 7,678.22 = 4,701.03 : x
  2. Step 2: Convert to fraction form
    5,112.65/7,678.22 = 4,701.03/x
  3. Step 3: Cross multiply
    5,112.65x = 7,678.22 × 4,701.03
  4. Step 4: Simplify right side
    5,112.65x = 36,095,519.06
  5. Step 5: Solve for x
    x = 36,095,519.06/5,112.65
  6. Step 6: Final answer
    x = 7,060.05

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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.