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Finding the Fourth Proportional to 3,432.70, 4,735.30 and 2,088.72

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Solution

The fourth proportional to 3,432.70, 4,735.30 and 2,088.72 is: 2,881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.70 : 4,735.30 = 2,088.72 : x
  2. Step 2: Convert to fraction form
    3,432.70/4,735.30 = 2,088.72/x
  3. Step 3: Cross multiply
    3,432.70x = 4,735.30 × 2,088.72
  4. Step 4: Simplify right side
    3,432.70x = 9,890,715.82
  5. Step 5: Solve for x
    x = 9,890,715.82/3,432.70
  6. Step 6: Final answer
    x = 2,881.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.