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Finding the Fourth Proportional to 5,953.68, 8,204.76 and 5,807.88

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Solution

The fourth proportional to 5,953.68, 8,204.76 and 5,807.88 is: 8,003.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.68 : 8,204.76 = 5,807.88 : x
  2. Step 2: Convert to fraction form
    5,953.68/8,204.76 = 5,807.88/x
  3. Step 3: Cross multiply
    5,953.68x = 8,204.76 × 5,807.88
  4. Step 4: Simplify right side
    5,953.68x = 47,652,261.51
  5. Step 5: Solve for x
    x = 47,652,261.51/5,953.68
  6. Step 6: Final answer
    x = 8,003.83

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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.