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Finding the Fourth Proportional to 5,666.25, 8,478.00 and 5,090.74

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Solution

The fourth proportional to 5,666.25, 8,478.00 and 5,090.74 is: 7,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.25 : 8,478.00 = 5,090.74 : x
  2. Step 2: Convert to fraction form
    5,666.25/8,478.00 = 5,090.74/x
  3. Step 3: Cross multiply
    5,666.25x = 8,478.00 × 5,090.74
  4. Step 4: Simplify right side
    5,666.25x = 43,159,282.08
  5. Step 5: Solve for x
    x = 43,159,282.08/5,666.25
  6. Step 6: Final answer
    x = 7,616.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.