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Finding the Fourth Proportional to 5,730.34, 7,884.96 and 5,559.16

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Solution

The fourth proportional to 5,730.34, 7,884.96 and 5,559.16 is: 7,649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.34 : 7,884.96 = 5,559.16 : x
  2. Step 2: Convert to fraction form
    5,730.34/7,884.96 = 5,559.16/x
  3. Step 3: Cross multiply
    5,730.34x = 7,884.96 × 5,559.16
  4. Step 4: Simplify right side
    5,730.34x = 43,833,754.23
  5. Step 5: Solve for x
    x = 43,833,754.23/5,730.34
  6. Step 6: Final answer
    x = 7,649.42

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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.