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Finding the Fourth Proportional to 4,686.34, 7,023.59 and 4,100.01

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Solution

The fourth proportional to 4,686.34, 7,023.59 and 4,100.01 is: 6,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.34 : 7,023.59 = 4,100.01 : x
  2. Step 2: Convert to fraction form
    4,686.34/7,023.59 = 4,100.01/x
  3. Step 3: Cross multiply
    4,686.34x = 7,023.59 × 4,100.01
  4. Step 4: Simplify right side
    4,686.34x = 28,796,789.24
  5. Step 5: Solve for x
    x = 28,796,789.24/4,686.34
  6. Step 6: Final answer
    x = 6,144.84

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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.