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Finding the Fourth Proportional to 4,653.71, 6,972.36 and 2,457.59

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Solution

The fourth proportional to 4,653.71, 6,972.36 and 2,457.59 is: 3,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.71 : 6,972.36 = 2,457.59 : x
  2. Step 2: Convert to fraction form
    4,653.71/6,972.36 = 2,457.59/x
  3. Step 3: Cross multiply
    4,653.71x = 6,972.36 × 2,457.59
  4. Step 4: Simplify right side
    4,653.71x = 17,135,202.21
  5. Step 5: Solve for x
    x = 17,135,202.21/4,653.71
  6. Step 6: Final answer
    x = 3,682.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.