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Finding the Fourth Proportional to 4,159.68, 5,742.28 and 3,590.28

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Solution

The fourth proportional to 4,159.68, 5,742.28 and 3,590.28 is: 4,956.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.68 : 5,742.28 = 3,590.28 : x
  2. Step 2: Convert to fraction form
    4,159.68/5,742.28 = 3,590.28/x
  3. Step 3: Cross multiply
    4,159.68x = 5,742.28 × 3,590.28
  4. Step 4: Simplify right side
    4,159.68x = 20,616,393.04
  5. Step 5: Solve for x
    x = 20,616,393.04/4,159.68
  6. Step 6: Final answer
    x = 4,956.24

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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.