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Finding the Fourth Proportional to 4,416.42, 6,624.42 and 2,681.40

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Solution

The fourth proportional to 4,416.42, 6,624.42 and 2,681.40 is: 4,021.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,416.42 : 6,624.42 = 2,681.40 : x
  2. Step 2: Convert to fraction form
    4,416.42/6,624.42 = 2,681.40/x
  3. Step 3: Cross multiply
    4,416.42x = 6,624.42 × 2,681.40
  4. Step 4: Simplify right side
    4,416.42x = 17,762,719.79
  5. Step 5: Solve for x
    x = 17,762,719.79/4,416.42
  6. Step 6: Final answer
    x = 4,021.97

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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.