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Finding the Fourth Proportional to 5,807.64, 8,013.39 and 3,416.97

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Solution

The fourth proportional to 5,807.64, 8,013.39 and 3,416.97 is: 4,714.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.64 : 8,013.39 = 3,416.97 : x
  2. Step 2: Convert to fraction form
    5,807.64/8,013.39 = 3,416.97/x
  3. Step 3: Cross multiply
    5,807.64x = 8,013.39 × 3,416.97
  4. Step 4: Simplify right side
    5,807.64x = 27,381,513.23
  5. Step 5: Solve for x
    x = 27,381,513.23/5,807.64
  6. Step 6: Final answer
    x = 4,714.74

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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.