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Finding the Fourth Proportional to 5,666.33, 7,814.16 and 4,723.28

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Solution

The fourth proportional to 5,666.33, 7,814.16 and 4,723.28 is: 6,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.33 : 7,814.16 = 4,723.28 : x
  2. Step 2: Convert to fraction form
    5,666.33/7,814.16 = 4,723.28/x
  3. Step 3: Cross multiply
    5,666.33x = 7,814.16 × 4,723.28
  4. Step 4: Simplify right side
    5,666.33x = 36,908,426.57
  5. Step 5: Solve for x
    x = 36,908,426.57/5,666.33
  6. Step 6: Final answer
    x = 6,513.64

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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.