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Finding the Fourth Proportional to 5,421.60, 7,482.12 and 3,064.56

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Solution

The fourth proportional to 5,421.60, 7,482.12 and 3,064.56 is: 4,229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421.60 : 7,482.12 = 3,064.56 : x
  2. Step 2: Convert to fraction form
    5,421.60/7,482.12 = 3,064.56/x
  3. Step 3: Cross multiply
    5,421.60x = 7,482.12 × 3,064.56
  4. Step 4: Simplify right side
    5,421.60x = 22,929,405.67
  5. Step 5: Solve for x
    x = 22,929,405.67/5,421.60
  6. Step 6: Final answer
    x = 4,229.27

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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.