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Finding the Fourth Proportional to 5,782.77, 7,980.18 and 3,130.17

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Solution

The fourth proportional to 5,782.77, 7,980.18 and 3,130.17 is: 4,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.77 : 7,980.18 = 3,130.17 : x
  2. Step 2: Convert to fraction form
    5,782.77/7,980.18 = 3,130.17/x
  3. Step 3: Cross multiply
    5,782.77x = 7,980.18 × 3,130.17
  4. Step 4: Simplify right side
    5,782.77x = 24,979,320.03
  5. Step 5: Solve for x
    x = 24,979,320.03/5,782.77
  6. Step 6: Final answer
    x = 4,319.61

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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.