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Finding the Fourth Proportional to 5,313.83, 7,332.12 and 3,075.80

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Solution

The fourth proportional to 5,313.83, 7,332.12 and 3,075.80 is: 4,244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.83 : 7,332.12 = 3,075.80 : x
  2. Step 2: Convert to fraction form
    5,313.83/7,332.12 = 3,075.80/x
  3. Step 3: Cross multiply
    5,313.83x = 7,332.12 × 3,075.80
  4. Step 4: Simplify right side
    5,313.83x = 22,552,098.04
  5. Step 5: Solve for x
    x = 22,552,098.04/5,313.83
  6. Step 6: Final answer
    x = 4,244.04

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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.