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Finding the Fourth Proportional to 5,807.64, 8,016.39 and 3,711.77

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Solution

The fourth proportional to 5,807.64, 8,016.39 and 3,711.77 is: 5,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.64 : 8,016.39 = 3,711.77 : x
  2. Step 2: Convert to fraction form
    5,807.64/8,016.39 = 3,711.77/x
  3. Step 3: Cross multiply
    5,807.64x = 8,016.39 × 3,711.77
  4. Step 4: Simplify right side
    5,807.64x = 29,754,955.83
  5. Step 5: Solve for x
    x = 29,754,955.83/5,807.64
  6. Step 6: Final answer
    x = 5,123.42

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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.