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Finding the Fourth Proportional to 4,762.48, 7,148.40 and 2,575.90

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Solution

The fourth proportional to 4,762.48, 7,148.40 and 2,575.90 is: 3,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.48 : 7,148.40 = 2,575.90 : x
  2. Step 2: Convert to fraction form
    4,762.48/7,148.40 = 2,575.90/x
  3. Step 3: Cross multiply
    4,762.48x = 7,148.40 × 2,575.90
  4. Step 4: Simplify right side
    4,762.48x = 18,413,563.56
  5. Step 5: Solve for x
    x = 18,413,563.56/4,762.48
  6. Step 6: Final answer
    x = 3,866.38

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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.