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Finding the Fourth Proportional to 3,007.86, 4,510.71 and 1,158.03

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Solution

The fourth proportional to 3,007.86, 4,510.71 and 1,158.03 is: 1,736.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.86 : 4,510.71 = 1,158.03 : x
  2. Step 2: Convert to fraction form
    3,007.86/4,510.71 = 1,158.03/x
  3. Step 3: Cross multiply
    3,007.86x = 4,510.71 × 1,158.03
  4. Step 4: Simplify right side
    3,007.86x = 5,223,537.50
  5. Step 5: Solve for x
    x = 5,223,537.50/3,007.86
  6. Step 6: Final answer
    x = 1,736.63

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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.