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Finding the Fourth Proportional to 4,762.14, 7,136.54 and 4,499.30

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Solution

The fourth proportional to 4,762.14, 7,136.54 and 4,499.30 is: 6,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.14 : 7,136.54 = 4,499.30 : x
  2. Step 2: Convert to fraction form
    4,762.14/7,136.54 = 4,499.30/x
  3. Step 3: Cross multiply
    4,762.14x = 7,136.54 × 4,499.30
  4. Step 4: Simplify right side
    4,762.14x = 32,109,434.42
  5. Step 5: Solve for x
    x = 32,109,434.42/4,762.14
  6. Step 6: Final answer
    x = 6,742.65

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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.