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Finding the Fourth Proportional to 3,802.19, 5,703.21 and 1,029.26

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Solution

The fourth proportional to 3,802.19, 5,703.21 and 1,029.26 is: 1,543.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.19 : 5,703.21 = 1,029.26 : x
  2. Step 2: Convert to fraction form
    3,802.19/5,703.21 = 1,029.26/x
  3. Step 3: Cross multiply
    3,802.19x = 5,703.21 × 1,029.26
  4. Step 4: Simplify right side
    3,802.19x = 5,870,068.10
  5. Step 5: Solve for x
    x = 5,870,068.10/3,802.19
  6. Step 6: Final answer
    x = 1,543.86

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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.