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Finding the Fourth Proportional to 5,783.88, 7,973.46 and 4,125

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Solution

The fourth proportional to 5,783.88, 7,973.46 and 4,125 is: 5,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.88 : 7,973.46 = 4,125 : x
  2. Step 2: Convert to fraction form
    5,783.88/7,973.46 = 4,125/x
  3. Step 3: Cross multiply
    5,783.88x = 7,973.46 × 4,125
  4. Step 4: Simplify right side
    5,783.88x = 32,890,522.50
  5. Step 5: Solve for x
    x = 32,890,522.50/5,783.88
  6. Step 6: Final answer
    x = 5,686.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.