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Finding the Fourth Proportional to 4,953.88, 7,431.90 and 2,030.32

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Solution

The fourth proportional to 4,953.88, 7,431.90 and 2,030.32 is: 3,045.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.88 : 7,431.90 = 2,030.32 : x
  2. Step 2: Convert to fraction form
    4,953.88/7,431.90 = 2,030.32/x
  3. Step 3: Cross multiply
    4,953.88x = 7,431.90 × 2,030.32
  4. Step 4: Simplify right side
    4,953.88x = 15,089,135.21
  5. Step 5: Solve for x
    x = 15,089,135.21/4,953.88
  6. Step 6: Final answer
    x = 3,045.92

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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.