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Finding the Fourth Proportional to 3,698.84, 5,106.84 and 2,373.14

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Solution

The fourth proportional to 3,698.84, 5,106.84 and 2,373.14 is: 3,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.84 : 5,106.84 = 2,373.14 : x
  2. Step 2: Convert to fraction form
    3,698.84/5,106.84 = 2,373.14/x
  3. Step 3: Cross multiply
    3,698.84x = 5,106.84 × 2,373.14
  4. Step 4: Simplify right side
    3,698.84x = 12,119,246.28
  5. Step 5: Solve for x
    x = 12,119,246.28/3,698.84
  6. Step 6: Final answer
    x = 3,276.50

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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.