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Finding the Fourth Proportional to 4,780.00, 6,580.02 and 4,146.80

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Solution

The fourth proportional to 4,780.00, 6,580.02 and 4,146.80 is: 5,708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.00 : 6,580.02 = 4,146.80 : x
  2. Step 2: Convert to fraction form
    4,780.00/6,580.02 = 4,146.80/x
  3. Step 3: Cross multiply
    4,780.00x = 6,580.02 × 4,146.80
  4. Step 4: Simplify right side
    4,780.00x = 27,286,058.94
  5. Step 5: Solve for x
    x = 27,286,058.94/4,780.00
  6. Step 6: Final answer
    x = 5,708.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.