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Finding the Fourth Proportional to 5,740.50, 8,603.83 and 4,986.19

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Solution

The fourth proportional to 5,740.50, 8,603.83 and 4,986.19 is: 7,473.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.50 : 8,603.83 = 4,986.19 : x
  2. Step 2: Convert to fraction form
    5,740.50/8,603.83 = 4,986.19/x
  3. Step 3: Cross multiply
    5,740.50x = 8,603.83 × 4,986.19
  4. Step 4: Simplify right side
    5,740.50x = 42,900,275.62
  5. Step 5: Solve for x
    x = 42,900,275.62/5,740.50
  6. Step 6: Final answer
    x = 7,473.27

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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.