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Finding the Fourth Proportional to 4,944.81, 7,417.04 and 1,434.92

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Solution

The fourth proportional to 4,944.81, 7,417.04 and 1,434.92 is: 2,152.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.81 : 7,417.04 = 1,434.92 : x
  2. Step 2: Convert to fraction form
    4,944.81/7,417.04 = 1,434.92/x
  3. Step 3: Cross multiply
    4,944.81x = 7,417.04 × 1,434.92
  4. Step 4: Simplify right side
    4,944.81x = 10,642,814.78
  5. Step 5: Solve for x
    x = 10,642,814.78/4,944.81
  6. Step 6: Final answer
    x = 2,152.32

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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.