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Finding the Fourth Proportional to 4,465.92, 6,699.20 and 1,544.64

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Solution

The fourth proportional to 4,465.92, 6,699.20 and 1,544.64 is: 2,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.92 : 6,699.20 = 1,544.64 : x
  2. Step 2: Convert to fraction form
    4,465.92/6,699.20 = 1,544.64/x
  3. Step 3: Cross multiply
    4,465.92x = 6,699.20 × 1,544.64
  4. Step 4: Simplify right side
    4,465.92x = 10,347,852.29
  5. Step 5: Solve for x
    x = 10,347,852.29/4,465.92
  6. Step 6: Final answer
    x = 2,317.07

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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.