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Finding the Fourth Proportional to 4,356.54, 6,534.14 and 1,434.87

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Solution

The fourth proportional to 4,356.54, 6,534.14 and 1,434.87 is: 2,152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,356.54 : 6,534.14 = 1,434.87 : x
  2. Step 2: Convert to fraction form
    4,356.54/6,534.14 = 1,434.87/x
  3. Step 3: Cross multiply
    4,356.54x = 6,534.14 × 1,434.87
  4. Step 4: Simplify right side
    4,356.54x = 9,375,634.29
  5. Step 5: Solve for x
    x = 9,375,634.29/4,356.54
  6. Step 6: Final answer
    x = 2,152.08

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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.