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Finding the Fourth Proportional to 4,356.36, 6,534.54 and 1,433.88

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Solution

The fourth proportional to 4,356.36, 6,534.54 and 1,433.88 is: 2,150.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,356.36 : 6,534.54 = 1,433.88 : x
  2. Step 2: Convert to fraction form
    4,356.36/6,534.54 = 1,433.88/x
  3. Step 3: Cross multiply
    4,356.36x = 6,534.54 × 1,433.88
  4. Step 4: Simplify right side
    4,356.36x = 9,369,746.22
  5. Step 5: Solve for x
    x = 9,369,746.22/4,356.36
  6. Step 6: Final answer
    x = 2,150.82

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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.