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Finding the Fourth Proportional to 5,782.62, 7,980 and 3,130.08

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Solution

The fourth proportional to 5,782.62, 7,980 and 3,130.08 is: 4,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.62 : 7,980 = 3,130.08 : x
  2. Step 2: Convert to fraction form
    5,782.62/7,980 = 3,130.08/x
  3. Step 3: Cross multiply
    5,782.62x = 7,980 × 3,130.08
  4. Step 4: Simplify right side
    5,782.62x = 24,978,038.40
  5. Step 5: Solve for x
    x = 24,978,038.40/5,782.62
  6. Step 6: Final answer
    x = 4,319.50

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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.