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Finding the Fourth Proportional to 3,502.69, 5,254.34 and 905.63

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Solution

The fourth proportional to 3,502.69, 5,254.34 and 905.63 is: 1,358.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.69 : 5,254.34 = 905.63 : x
  2. Step 2: Convert to fraction form
    3,502.69/5,254.34 = 905.63/x
  3. Step 3: Cross multiply
    3,502.69x = 5,254.34 × 905.63
  4. Step 4: Simplify right side
    3,502.69x = 4,758,457.13
  5. Step 5: Solve for x
    x = 4,758,457.13/3,502.69
  6. Step 6: Final answer
    x = 1,358.52

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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.