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Finding the Fourth Proportional to 5,782.73, 7,980.13 and 3,130.08

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Solution

The fourth proportional to 5,782.73, 7,980.13 and 3,130.08 is: 4,319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.73 : 7,980.13 = 3,130.08 : x
  2. Step 2: Convert to fraction form
    5,782.73/7,980.13 = 3,130.08/x
  3. Step 3: Cross multiply
    5,782.73x = 7,980.13 × 3,130.08
  4. Step 4: Simplify right side
    5,782.73x = 24,978,445.31
  5. Step 5: Solve for x
    x = 24,978,445.31/5,782.73
  6. Step 6: Final answer
    x = 4,319.49

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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.