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Finding the Fourth Proportional to 5,313.67, 7,332.74 and 3,075.24

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Solution

The fourth proportional to 5,313.67, 7,332.74 and 3,075.24 is: 4,243.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.67 : 7,332.74 = 3,075.24 : x
  2. Step 2: Convert to fraction form
    5,313.67/7,332.74 = 3,075.24/x
  3. Step 3: Cross multiply
    5,313.67x = 7,332.74 × 3,075.24
  4. Step 4: Simplify right side
    5,313.67x = 22,549,883.32
  5. Step 5: Solve for x
    x = 22,549,883.32/5,313.67
  6. Step 6: Final answer
    x = 4,243.75

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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.