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Finding the Fourth Proportional to 5,783.52, 7,973.33 and 3,657.99

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Solution

The fourth proportional to 5,783.52, 7,973.33 and 3,657.99 is: 5,043.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.52 : 7,973.33 = 3,657.99 : x
  2. Step 2: Convert to fraction form
    5,783.52/7,973.33 = 3,657.99/x
  3. Step 3: Cross multiply
    5,783.52x = 7,973.33 × 3,657.99
  4. Step 4: Simplify right side
    5,783.52x = 29,166,373.02
  5. Step 5: Solve for x
    x = 29,166,373.02/5,783.52
  6. Step 6: Final answer
    x = 5,043.01

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Why These Related Problems?

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