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Finding the Fourth Proportional to 4,332.26, 6,500.81 and 1,735.40

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Solution

The fourth proportional to 4,332.26, 6,500.81 and 1,735.40 is: 2,604.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.26 : 6,500.81 = 1,735.40 : x
  2. Step 2: Convert to fraction form
    4,332.26/6,500.81 = 1,735.40/x
  3. Step 3: Cross multiply
    4,332.26x = 6,500.81 × 1,735.40
  4. Step 4: Simplify right side
    4,332.26x = 11,281,477.51
  5. Step 5: Solve for x
    x = 11,281,477.51/4,332.26
  6. Step 6: Final answer
    x = 2,604.07

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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.