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Finding the Fourth Proportional to 4,507.42, 6,762.34 and 2,280.86

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Solution

The fourth proportional to 4,507.42, 6,762.34 and 2,280.86 is: 3,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.42 : 6,762.34 = 2,280.86 : x
  2. Step 2: Convert to fraction form
    4,507.42/6,762.34 = 2,280.86/x
  3. Step 3: Cross multiply
    4,507.42x = 6,762.34 × 2,280.86
  4. Step 4: Simplify right side
    4,507.42x = 15,423,950.81
  5. Step 5: Solve for x
    x = 15,423,950.81/4,507.42
  6. Step 6: Final answer
    x = 3,421.90

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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.