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Finding the Fourth Proportional to 4,689.90, 7,038.34 and 2,224.74

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Solution

The fourth proportional to 4,689.90, 7,038.34 and 2,224.74 is: 3,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.90 : 7,038.34 = 2,224.74 : x
  2. Step 2: Convert to fraction form
    4,689.90/7,038.34 = 2,224.74/x
  3. Step 3: Cross multiply
    4,689.90x = 7,038.34 × 2,224.74
  4. Step 4: Simplify right side
    4,689.90x = 15,658,476.53
  5. Step 5: Solve for x
    x = 15,658,476.53/4,689.90
  6. Step 6: Final answer
    x = 3,338.77

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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.