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Finding the Fourth Proportional to 5,743.88, 8,567.40 and 5,219

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Solution

The fourth proportional to 5,743.88, 8,567.40 and 5,219 is: 7,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.88 : 8,567.40 = 5,219 : x
  2. Step 2: Convert to fraction form
    5,743.88/8,567.40 = 5,219/x
  3. Step 3: Cross multiply
    5,743.88x = 8,567.40 × 5,219
  4. Step 4: Simplify right side
    5,743.88x = 44,713,260.60
  5. Step 5: Solve for x
    x = 44,713,260.60/5,743.88
  6. Step 6: Final answer
    x = 7,784.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.