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Finding the Fourth Proportional to 3,802.96, 5,702.52 and 2,303.47

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Solution

The fourth proportional to 3,802.96, 5,702.52 and 2,303.47 is: 3,454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.96 : 5,702.52 = 2,303.47 : x
  2. Step 2: Convert to fraction form
    3,802.96/5,702.52 = 2,303.47/x
  3. Step 3: Cross multiply
    3,802.96x = 5,702.52 × 2,303.47
  4. Step 4: Simplify right side
    3,802.96x = 13,135,583.74
  5. Step 5: Solve for x
    x = 13,135,583.74/3,802.96
  6. Step 6: Final answer
    x = 3,454.04

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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.