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Finding the Fourth Proportional to 4,904.04, 7,356 and 2,305.14

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Solution

The fourth proportional to 4,904.04, 7,356 and 2,305.14 is: 3,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.04 : 7,356 = 2,305.14 : x
  2. Step 2: Convert to fraction form
    4,904.04/7,356 = 2,305.14/x
  3. Step 3: Cross multiply
    4,904.04x = 7,356 × 2,305.14
  4. Step 4: Simplify right side
    4,904.04x = 16,956,609.84
  5. Step 5: Solve for x
    x = 16,956,609.84/4,904.04
  6. Step 6: Final answer
    x = 3,457.68

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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.