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Finding the Fourth Proportional to 4,877.96, 7,302.65 and 3,023.48

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Solution

The fourth proportional to 4,877.96, 7,302.65 and 3,023.48 is: 4,526.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.96 : 7,302.65 = 3,023.48 : x
  2. Step 2: Convert to fraction form
    4,877.96/7,302.65 = 3,023.48/x
  3. Step 3: Cross multiply
    4,877.96x = 7,302.65 × 3,023.48
  4. Step 4: Simplify right side
    4,877.96x = 22,079,387.27
  5. Step 5: Solve for x
    x = 22,079,387.27/4,877.96
  6. Step 6: Final answer
    x = 4,526.36

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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.