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Finding the Fourth Proportional to 4,355.76, 6,534.36 and 1,434

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Solution

The fourth proportional to 4,355.76, 6,534.36 and 1,434 is: 2,151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,355.76 : 6,534.36 = 1,434 : x
  2. Step 2: Convert to fraction form
    4,355.76/6,534.36 = 1,434/x
  3. Step 3: Cross multiply
    4,355.76x = 6,534.36 × 1,434
  4. Step 4: Simplify right side
    4,355.76x = 9,370,272.24
  5. Step 5: Solve for x
    x = 9,370,272.24/4,355.76
  6. Step 6: Final answer
    x = 2,151.24

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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.