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Finding the Fourth Proportional to 5,624.32, 8,435.52 and 2,065.66

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Solution

The fourth proportional to 5,624.32, 8,435.52 and 2,065.66 is: 3,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.32 : 8,435.52 = 2,065.66 : x
  2. Step 2: Convert to fraction form
    5,624.32/8,435.52 = 2,065.66/x
  3. Step 3: Cross multiply
    5,624.32x = 8,435.52 × 2,065.66
  4. Step 4: Simplify right side
    5,624.32x = 17,424,916.24
  5. Step 5: Solve for x
    x = 17,424,916.24/5,624.32
  6. Step 6: Final answer
    x = 3,098.14

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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.