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Finding the Fourth Proportional to 4,208.59, 5,807.59 and 2,320.07

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Solution

The fourth proportional to 4,208.59, 5,807.59 and 2,320.07 is: 3,201.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.59 : 5,807.59 = 2,320.07 : x
  2. Step 2: Convert to fraction form
    4,208.59/5,807.59 = 2,320.07/x
  3. Step 3: Cross multiply
    4,208.59x = 5,807.59 × 2,320.07
  4. Step 4: Simplify right side
    4,208.59x = 13,474,003.35
  5. Step 5: Solve for x
    x = 13,474,003.35/4,208.59
  6. Step 6: Final answer
    x = 3,201.55

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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.