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Finding the Fourth Proportional to 5,782.84, 7,980.30 and 3,130.29

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Solution

The fourth proportional to 5,782.84, 7,980.30 and 3,130.29 is: 4,319.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.84 : 7,980.30 = 3,130.29 : x
  2. Step 2: Convert to fraction form
    5,782.84/7,980.30 = 3,130.29/x
  3. Step 3: Cross multiply
    5,782.84x = 7,980.30 × 3,130.29
  4. Step 4: Simplify right side
    5,782.84x = 24,980,653.29
  5. Step 5: Solve for x
    x = 24,980,653.29/5,782.84
  6. Step 6: Final answer
    x = 4,319.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.