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Finding the Fourth Proportional to 4,904.07, 7,365.59 and 4,202.88

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Solution

The fourth proportional to 4,904.07, 7,365.59 and 4,202.88 is: 6,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.07 : 7,365.59 = 4,202.88 : x
  2. Step 2: Convert to fraction form
    4,904.07/7,365.59 = 4,202.88/x
  3. Step 3: Cross multiply
    4,904.07x = 7,365.59 × 4,202.88
  4. Step 4: Simplify right side
    4,904.07x = 30,956,669.88
  5. Step 5: Solve for x
    x = 30,956,669.88/4,904.07
  6. Step 6: Final answer
    x = 6,312.44

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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.