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Finding the Fourth Proportional to 4,356.30, 6,534.24 and 1,069.20

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Solution

The fourth proportional to 4,356.30, 6,534.24 and 1,069.20 is: 1,603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,356.30 : 6,534.24 = 1,069.20 : x
  2. Step 2: Convert to fraction form
    4,356.30/6,534.24 = 1,069.20/x
  3. Step 3: Cross multiply
    4,356.30x = 6,534.24 × 1,069.20
  4. Step 4: Simplify right side
    4,356.30x = 6,986,409.41
  5. Step 5: Solve for x
    x = 6,986,409.41/4,356.30
  6. Step 6: Final answer
    x = 1,603.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.