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Finding the Fourth Proportional to 5,409.50, 7,465.14 and 2,925.50

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Solution

The fourth proportional to 5,409.50, 7,465.14 and 2,925.50 is: 4,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.50 : 7,465.14 = 2,925.50 : x
  2. Step 2: Convert to fraction form
    5,409.50/7,465.14 = 2,925.50/x
  3. Step 3: Cross multiply
    5,409.50x = 7,465.14 × 2,925.50
  4. Step 4: Simplify right side
    5,409.50x = 21,839,252.44
  5. Step 5: Solve for x
    x = 21,839,252.44/5,409.50
  6. Step 6: Final answer
    x = 4,037.20

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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.