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Finding the Fourth Proportional to 4,645.40, 6,969.10 and 1,358.24

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Solution

The fourth proportional to 4,645.40, 6,969.10 and 1,358.24 is: 2,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.40 : 6,969.10 = 1,358.24 : x
  2. Step 2: Convert to fraction form
    4,645.40/6,969.10 = 1,358.24/x
  3. Step 3: Cross multiply
    4,645.40x = 6,969.10 × 1,358.24
  4. Step 4: Simplify right side
    4,645.40x = 9,465,710.38
  5. Step 5: Solve for x
    x = 9,465,710.38/4,645.40
  6. Step 6: Final answer
    x = 2,037.65

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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.