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Finding the Fourth Proportional to 3,884,407.65, 5,827,464.95 and 1,188,940.68

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Solution

The fourth proportional to 3,884,407.65, 5,827,464.95 and 1,188,940.68 is: 1,783,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884,407.65 : 5,827,464.95 = 1,188,940.68 : x
  2. Step 2: Convert to fraction form
    3,884,407.65/5,827,464.95 = 1,188,940.68/x
  3. Step 3: Cross multiply
    3,884,407.65x = 5,827,464.95 × 1,188,940.68
  4. Step 4: Simplify right side
    3,884,407.65x = 6,928,510,134,384.46
  5. Step 5: Solve for x
    x = 6,928,510,134,384.46/3,884,407.65
  6. Step 6: Final answer
    x = 1,783,672.25

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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.