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Finding the Fourth Proportional to 5,783.15, 7,978.59 and 4,274.34

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Solution

The fourth proportional to 5,783.15, 7,978.59 and 4,274.34 is: 5,897.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.15 : 7,978.59 = 4,274.34 : x
  2. Step 2: Convert to fraction form
    5,783.15/7,978.59 = 4,274.34/x
  3. Step 3: Cross multiply
    5,783.15x = 7,978.59 × 4,274.34
  4. Step 4: Simplify right side
    5,783.15x = 34,103,206.38
  5. Step 5: Solve for x
    x = 34,103,206.38/5,783.15
  6. Step 6: Final answer
    x = 5,897.00

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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.