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Finding the Fourth Proportional to 4,762.76, 7,144.86 and 1,475.06

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Solution

The fourth proportional to 4,762.76, 7,144.86 and 1,475.06 is: 2,212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.76 : 7,144.86 = 1,475.06 : x
  2. Step 2: Convert to fraction form
    4,762.76/7,144.86 = 1,475.06/x
  3. Step 3: Cross multiply
    4,762.76x = 7,144.86 × 1,475.06
  4. Step 4: Simplify right side
    4,762.76x = 10,539,061.47
  5. Step 5: Solve for x
    x = 10,539,061.47/4,762.76
  6. Step 6: Final answer
    x = 2,212.81

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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.