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Finding the Fourth Proportional to 3,541.86, 5,315.76 and 3,132

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Solution

The fourth proportional to 3,541.86, 5,315.76 and 3,132 is: 4,700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.86 : 5,315.76 = 3,132 : x
  2. Step 2: Convert to fraction form
    3,541.86/5,315.76 = 3,132/x
  3. Step 3: Cross multiply
    3,541.86x = 5,315.76 × 3,132
  4. Step 4: Simplify right side
    3,541.86x = 16,648,960.32
  5. Step 5: Solve for x
    x = 16,648,960.32/3,541.86
  6. Step 6: Final answer
    x = 4,700.63

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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.