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Finding the Fourth Proportional to 3,412.94, 4,709.91 and 2,068.58

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Solution

The fourth proportional to 3,412.94, 4,709.91 and 2,068.58 is: 2,854.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.94 : 4,709.91 = 2,068.58 : x
  2. Step 2: Convert to fraction form
    3,412.94/4,709.91 = 2,068.58/x
  3. Step 3: Cross multiply
    3,412.94x = 4,709.91 × 2,068.58
  4. Step 4: Simplify right side
    3,412.94x = 9,742,803.32
  5. Step 5: Solve for x
    x = 9,742,803.32/3,412.94
  6. Step 6: Final answer
    x = 2,854.67

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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.