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Finding the Fourth Proportional to 4,776.88, 7,160.16 and 2,005.06

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Solution

The fourth proportional to 4,776.88, 7,160.16 and 2,005.06 is: 3,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.88 : 7,160.16 = 2,005.06 : x
  2. Step 2: Convert to fraction form
    4,776.88/7,160.16 = 2,005.06/x
  3. Step 3: Cross multiply
    4,776.88x = 7,160.16 × 2,005.06
  4. Step 4: Simplify right side
    4,776.88x = 14,356,550.41
  5. Step 5: Solve for x
    x = 14,356,550.41/4,776.88
  6. Step 6: Final answer
    x = 3,005.42

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1.5x scale

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.