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Finding the Fourth Proportional to 5,421.32, 7,474.02 and 3,430.88

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Solution

The fourth proportional to 5,421.32, 7,474.02 and 3,430.88 is: 4,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421.32 : 7,474.02 = 3,430.88 : x
  2. Step 2: Convert to fraction form
    5,421.32/7,474.02 = 3,430.88/x
  3. Step 3: Cross multiply
    5,421.32x = 7,474.02 × 3,430.88
  4. Step 4: Simplify right side
    5,421.32x = 25,642,465.74
  5. Step 5: Solve for x
    x = 25,642,465.74/5,421.32
  6. Step 6: Final answer
    x = 4,729.93

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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.