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Finding the Fourth Proportional to 5,330.16, 7,350.62 and 4,213.76

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Solution

The fourth proportional to 5,330.16, 7,350.62 and 4,213.76 is: 5,811.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330.16 : 7,350.62 = 4,213.76 : x
  2. Step 2: Convert to fraction form
    5,330.16/7,350.62 = 4,213.76/x
  3. Step 3: Cross multiply
    5,330.16x = 7,350.62 × 4,213.76
  4. Step 4: Simplify right side
    5,330.16x = 30,973,690.71
  5. Step 5: Solve for x
    x = 30,973,690.71/5,330.16
  6. Step 6: Final answer
    x = 5,811.02

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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.