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Finding the Fourth Proportional to 7,124.24, 9,830.58 and 3,980

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Solution

The fourth proportional to 7,124.24, 9,830.58 and 3,980 is: 5,491.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.24 : 9,830.58 = 3,980 : x
  2. Step 2: Convert to fraction form
    7,124.24/9,830.58 = 3,980/x
  3. Step 3: Cross multiply
    7,124.24x = 9,830.58 × 3,980
  4. Step 4: Simplify right side
    7,124.24x = 39,125,708.40
  5. Step 5: Solve for x
    x = 39,125,708.40/7,124.24
  6. Step 6: Final answer
    x = 5,491.91

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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.