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Finding the Fourth Proportional to 5,325.96, 7,349.80 and 3,089.14

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Solution

The fourth proportional to 5,325.96, 7,349.80 and 3,089.14 is: 4,263.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.96 : 7,349.80 = 3,089.14 : x
  2. Step 2: Convert to fraction form
    5,325.96/7,349.80 = 3,089.14/x
  3. Step 3: Cross multiply
    5,325.96x = 7,349.80 × 3,089.14
  4. Step 4: Simplify right side
    5,325.96x = 22,704,561.17
  5. Step 5: Solve for x
    x = 22,704,561.17/5,325.96
  6. Step 6: Final answer
    x = 4,263.00

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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.