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Finding the Fourth Proportional to 5,746.41, 8,615.04 and 5,285.13

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Solution

The fourth proportional to 5,746.41, 8,615.04 and 5,285.13 is: 7,923.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.41 : 8,615.04 = 5,285.13 : x
  2. Step 2: Convert to fraction form
    5,746.41/8,615.04 = 5,285.13/x
  3. Step 3: Cross multiply
    5,746.41x = 8,615.04 × 5,285.13
  4. Step 4: Simplify right side
    5,746.41x = 45,531,606.36
  5. Step 5: Solve for x
    x = 45,531,606.36/5,746.41
  6. Step 6: Final answer
    x = 7,923.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.