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Finding the Fourth Proportional to 5,973.56, 8,946.43 and 5,765.93

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Solution

The fourth proportional to 5,973.56, 8,946.43 and 5,765.93 is: 8,635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.56 : 8,946.43 = 5,765.93 : x
  2. Step 2: Convert to fraction form
    5,973.56/8,946.43 = 5,765.93/x
  3. Step 3: Cross multiply
    5,973.56x = 8,946.43 × 5,765.93
  4. Step 4: Simplify right side
    5,973.56x = 51,584,429.98
  5. Step 5: Solve for x
    x = 51,584,429.98/5,973.56
  6. Step 6: Final answer
    x = 8,635.47

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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.