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Finding the Fourth Proportional to 4,228.32, 5,835.02 and 2,365.32

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Solution

The fourth proportional to 4,228.32, 5,835.02 and 2,365.32 is: 3,264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.32 : 5,835.02 = 2,365.32 : x
  2. Step 2: Convert to fraction form
    4,228.32/5,835.02 = 2,365.32/x
  3. Step 3: Cross multiply
    4,228.32x = 5,835.02 × 2,365.32
  4. Step 4: Simplify right side
    4,228.32x = 13,801,689.51
  5. Step 5: Solve for x
    x = 13,801,689.51/4,228.32
  6. Step 6: Final answer
    x = 3,264.11

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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.