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Finding the Fourth Proportional to 4,295.82, 5,928.40 and 2,407.42

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Solution

The fourth proportional to 4,295.82, 5,928.40 and 2,407.42 is: 3,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.82 : 5,928.40 = 2,407.42 : x
  2. Step 2: Convert to fraction form
    4,295.82/5,928.40 = 2,407.42/x
  3. Step 3: Cross multiply
    4,295.82x = 5,928.40 × 2,407.42
  4. Step 4: Simplify right side
    4,295.82x = 14,272,162.53
  5. Step 5: Solve for x
    x = 14,272,162.53/4,295.82
  6. Step 6: Final answer
    x = 3,322.34

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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.