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Finding the Fourth Proportional to 5,783.59, 7,985.96 and 5,341.33

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Solution

The fourth proportional to 5,783.59, 7,985.96 and 5,341.33 is: 7,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.59 : 7,985.96 = 5,341.33 : x
  2. Step 2: Convert to fraction form
    5,783.59/7,985.96 = 5,341.33/x
  3. Step 3: Cross multiply
    5,783.59x = 7,985.96 × 5,341.33
  4. Step 4: Simplify right side
    5,783.59x = 42,655,647.73
  5. Step 5: Solve for x
    x = 42,655,647.73/5,783.59
  6. Step 6: Final answer
    x = 7,375.29

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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.