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Finding the Fourth Proportional to 4,784.86, 7,180.08 and 2,011.32

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Solution

The fourth proportional to 4,784.86, 7,180.08 and 2,011.32 is: 3,018.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.86 : 7,180.08 = 2,011.32 : x
  2. Step 2: Convert to fraction form
    4,784.86/7,180.08 = 2,011.32/x
  3. Step 3: Cross multiply
    4,784.86x = 7,180.08 × 2,011.32
  4. Step 4: Simplify right side
    4,784.86x = 14,441,438.51
  5. Step 5: Solve for x
    x = 14,441,438.51/4,784.86
  6. Step 6: Final answer
    x = 3,018.15

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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.