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Finding the Fourth Proportional to 4,655.40, 6,969.24 and 3,007.14

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Solution

The fourth proportional to 4,655.40, 6,969.24 and 3,007.14 is: 4,501.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.40 : 6,969.24 = 3,007.14 : x
  2. Step 2: Convert to fraction form
    4,655.40/6,969.24 = 3,007.14/x
  3. Step 3: Cross multiply
    4,655.40x = 6,969.24 × 3,007.14
  4. Step 4: Simplify right side
    4,655.40x = 20,957,480.37
  5. Step 5: Solve for x
    x = 20,957,480.37/4,655.40
  6. Step 6: Final answer
    x = 4,501.76

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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.