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Finding the Fourth Proportional to 4,762.47, 7,136.90 and 2,678.10

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Solution

The fourth proportional to 4,762.47, 7,136.90 and 2,678.10 is: 4,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.47 : 7,136.90 = 2,678.10 : x
  2. Step 2: Convert to fraction form
    4,762.47/7,136.90 = 2,678.10/x
  3. Step 3: Cross multiply
    4,762.47x = 7,136.90 × 2,678.10
  4. Step 4: Simplify right side
    4,762.47x = 19,113,321.85
  5. Step 5: Solve for x
    x = 19,113,321.85/4,762.47
  6. Step 6: Final answer
    x = 4,013.32

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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.