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Finding the Fourth Proportional to 5,813.16, 8,024.04 and 4,320.60

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Solution

The fourth proportional to 5,813.16, 8,024.04 and 4,320.60 is: 5,963.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.16 : 8,024.04 = 4,320.60 : x
  2. Step 2: Convert to fraction form
    5,813.16/8,024.04 = 4,320.60/x
  3. Step 3: Cross multiply
    5,813.16x = 8,024.04 × 4,320.60
  4. Step 4: Simplify right side
    5,813.16x = 34,668,667.22
  5. Step 5: Solve for x
    x = 34,668,667.22/5,813.16
  6. Step 6: Final answer
    x = 5,963.82

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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.