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Finding the Fourth Proportional to 5,307.94, 7,955.01 and 2,184.40

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Solution

The fourth proportional to 5,307.94, 7,955.01 and 2,184.40 is: 3,273.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.94 : 7,955.01 = 2,184.40 : x
  2. Step 2: Convert to fraction form
    5,307.94/7,955.01 = 2,184.40/x
  3. Step 3: Cross multiply
    5,307.94x = 7,955.01 × 2,184.40
  4. Step 4: Simplify right side
    5,307.94x = 17,376,923.84
  5. Step 5: Solve for x
    x = 17,376,923.84/5,307.94
  6. Step 6: Final answer
    x = 3,273.76

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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.