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Finding the Fourth Proportional to 5,730.74, 7,909.92 and 3,373.64

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Solution

The fourth proportional to 5,730.74, 7,909.92 and 3,373.64 is: 4,656.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.74 : 7,909.92 = 3,373.64 : x
  2. Step 2: Convert to fraction form
    5,730.74/7,909.92 = 3,373.64/x
  3. Step 3: Cross multiply
    5,730.74x = 7,909.92 × 3,373.64
  4. Step 4: Simplify right side
    5,730.74x = 26,685,222.51
  5. Step 5: Solve for x
    x = 26,685,222.51/5,730.74
  6. Step 6: Final answer
    x = 4,656.51

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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.