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Finding the Fourth Proportional to 3,868.51, 5,334.51 and 2,296.30

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Solution

The fourth proportional to 3,868.51, 5,334.51 and 2,296.30 is: 3,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.51 : 5,334.51 = 2,296.30 : x
  2. Step 2: Convert to fraction form
    3,868.51/5,334.51 = 2,296.30/x
  3. Step 3: Cross multiply
    3,868.51x = 5,334.51 × 2,296.30
  4. Step 4: Simplify right side
    3,868.51x = 12,249,635.31
  5. Step 5: Solve for x
    x = 12,249,635.31/3,868.51
  6. Step 6: Final answer
    x = 3,166.50

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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.