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Finding the Fourth Proportional to 3,746.94, 5,165.28 and 2,624.40

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Solution

The fourth proportional to 3,746.94, 5,165.28 and 2,624.40 is: 3,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.94 : 5,165.28 = 2,624.40 : x
  2. Step 2: Convert to fraction form
    3,746.94/5,165.28 = 2,624.40/x
  3. Step 3: Cross multiply
    3,746.94x = 5,165.28 × 2,624.40
  4. Step 4: Simplify right side
    3,746.94x = 13,555,760.83
  5. Step 5: Solve for x
    x = 13,555,760.83/3,746.94
  6. Step 6: Final answer
    x = 3,617.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.