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Finding the Fourth Proportional to 5,894.34, 8,130.81 and 3,682.50

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Solution

The fourth proportional to 5,894.34, 8,130.81 and 3,682.50 is: 5,079.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.34 : 8,130.81 = 3,682.50 : x
  2. Step 2: Convert to fraction form
    5,894.34/8,130.81 = 3,682.50/x
  3. Step 3: Cross multiply
    5,894.34x = 8,130.81 × 3,682.50
  4. Step 4: Simplify right side
    5,894.34x = 29,941,707.83
  5. Step 5: Solve for x
    x = 29,941,707.83/5,894.34
  6. Step 6: Final answer
    x = 5,079.74

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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.