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Finding the Fourth Proportional to 4,645.63, 6,969.15 and 1,358.34

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Solution

The fourth proportional to 4,645.63, 6,969.15 and 1,358.34 is: 2,037.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.63 : 6,969.15 = 1,358.34 : x
  2. Step 2: Convert to fraction form
    4,645.63/6,969.15 = 1,358.34/x
  3. Step 3: Cross multiply
    4,645.63x = 6,969.15 × 1,358.34
  4. Step 4: Simplify right side
    4,645.63x = 9,466,475.21
  5. Step 5: Solve for x
    x = 9,466,475.21/4,645.63
  6. Step 6: Final answer
    x = 2,037.72

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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.