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Finding the Fourth Proportional to 3,477.87, 5,217.53 and 1,746.51

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Solution

The fourth proportional to 3,477.87, 5,217.53 and 1,746.51 is: 2,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.87 : 5,217.53 = 1,746.51 : x
  2. Step 2: Convert to fraction form
    3,477.87/5,217.53 = 1,746.51/x
  3. Step 3: Cross multiply
    3,477.87x = 5,217.53 × 1,746.51
  4. Step 4: Simplify right side
    3,477.87x = 9,112,459.59
  5. Step 5: Solve for x
    x = 9,112,459.59/3,477.87
  6. Step 6: Final answer
    x = 2,620.13

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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.