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Finding the Fourth Proportional to 3,411.04, 5,115.53 and 945.19

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Solution

The fourth proportional to 3,411.04, 5,115.53 and 945.19 is: 1,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.04 : 5,115.53 = 945.19 : x
  2. Step 2: Convert to fraction form
    3,411.04/5,115.53 = 945.19/x
  3. Step 3: Cross multiply
    3,411.04x = 5,115.53 × 945.19
  4. Step 4: Simplify right side
    3,411.04x = 4,835,168.29
  5. Step 5: Solve for x
    x = 4,835,168.29/3,411.04
  6. Step 6: Final answer
    x = 1,417.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.