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Finding the Fourth Proportional to 3,415.28, 4,709.86 and 3,160.74

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Solution

The fourth proportional to 3,415.28, 4,709.86 and 3,160.74 is: 4,358.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.28 : 4,709.86 = 3,160.74 : x
  2. Step 2: Convert to fraction form
    3,415.28/4,709.86 = 3,160.74/x
  3. Step 3: Cross multiply
    3,415.28x = 4,709.86 × 3,160.74
  4. Step 4: Simplify right side
    3,415.28x = 14,886,642.90
  5. Step 5: Solve for x
    x = 14,886,642.90/3,415.28
  6. Step 6: Final answer
    x = 4,358.84

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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.