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Finding the Fourth Proportional to 4,977.86, 7,467.80 and 4,051.01

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Solution

The fourth proportional to 4,977.86, 7,467.80 and 4,051.01 is: 6,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.86 : 7,467.80 = 4,051.01 : x
  2. Step 2: Convert to fraction form
    4,977.86/7,467.80 = 4,051.01/x
  3. Step 3: Cross multiply
    4,977.86x = 7,467.80 × 4,051.01
  4. Step 4: Simplify right side
    4,977.86x = 30,252,130.89
  5. Step 5: Solve for x
    x = 30,252,130.89/4,977.86
  6. Step 6: Final answer
    x = 6,077.34

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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.