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Finding the Fourth Proportional to 5,207.44, 7,810.92 and 1,920.32

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Solution

The fourth proportional to 5,207.44, 7,810.92 and 1,920.32 is: 2,880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.44 : 7,810.92 = 1,920.32 : x
  2. Step 2: Convert to fraction form
    5,207.44/7,810.92 = 1,920.32/x
  3. Step 3: Cross multiply
    5,207.44x = 7,810.92 × 1,920.32
  4. Step 4: Simplify right side
    5,207.44x = 14,999,465.89
  5. Step 5: Solve for x
    x = 14,999,465.89/5,207.44
  6. Step 6: Final answer
    x = 2,880.39

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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.