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Finding the Fourth Proportional to 5,742.42, 7,928.67 and 3,970.95

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Solution

The fourth proportional to 5,742.42, 7,928.67 and 3,970.95 is: 5,482.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.42 : 7,928.67 = 3,970.95 : x
  2. Step 2: Convert to fraction form
    5,742.42/7,928.67 = 3,970.95/x
  3. Step 3: Cross multiply
    5,742.42x = 7,928.67 × 3,970.95
  4. Step 4: Simplify right side
    5,742.42x = 31,484,352.14
  5. Step 5: Solve for x
    x = 31,484,352.14/5,742.42
  6. Step 6: Final answer
    x = 5,482.77

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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.