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Finding the Fourth Proportional to 5,731.61, 7,909.71 and 3,341.52

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Solution

The fourth proportional to 5,731.61, 7,909.71 and 3,341.52 is: 4,611.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.61 : 7,909.71 = 3,341.52 : x
  2. Step 2: Convert to fraction form
    5,731.61/7,909.71 = 3,341.52/x
  3. Step 3: Cross multiply
    5,731.61x = 7,909.71 × 3,341.52
  4. Step 4: Simplify right side
    5,731.61x = 26,430,410.61
  5. Step 5: Solve for x
    x = 26,430,410.61/5,731.61
  6. Step 6: Final answer
    x = 4,611.34

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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.