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Finding the Fourth Proportional to 3,580.15, 5,369.59 and 947.68

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Solution

The fourth proportional to 3,580.15, 5,369.59 and 947.68 is: 1,421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.15 : 5,369.59 = 947.68 : x
  2. Step 2: Convert to fraction form
    3,580.15/5,369.59 = 947.68/x
  3. Step 3: Cross multiply
    3,580.15x = 5,369.59 × 947.68
  4. Step 4: Simplify right side
    3,580.15x = 5,088,653.05
  5. Step 5: Solve for x
    x = 5,088,653.05/3,580.15
  6. Step 6: Final answer
    x = 1,421.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.