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Finding the Fourth Proportional to 5,364.32, 7,402.74 and 3,006.50

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Solution

The fourth proportional to 5,364.32, 7,402.74 and 3,006.50 is: 4,148.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.32 : 7,402.74 = 3,006.50 : x
  2. Step 2: Convert to fraction form
    5,364.32/7,402.74 = 3,006.50/x
  3. Step 3: Cross multiply
    5,364.32x = 7,402.74 × 3,006.50
  4. Step 4: Simplify right side
    5,364.32x = 22,256,337.81
  5. Step 5: Solve for x
    x = 22,256,337.81/5,364.32
  6. Step 6: Final answer
    x = 4,148.96

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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.