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Finding the Fourth Proportional to 4,209.60, 6,315.75 and 1,744.68

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Solution

The fourth proportional to 4,209.60, 6,315.75 and 1,744.68 is: 2,617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.60 : 6,315.75 = 1,744.68 : x
  2. Step 2: Convert to fraction form
    4,209.60/6,315.75 = 1,744.68/x
  3. Step 3: Cross multiply
    4,209.60x = 6,315.75 × 1,744.68
  4. Step 4: Simplify right side
    4,209.60x = 11,018,962.71
  5. Step 5: Solve for x
    x = 11,018,962.71/4,209.60
  6. Step 6: Final answer
    x = 2,617.58

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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.