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Finding the Fourth Proportional to 3,588.50, 5,385.18 and 1,280

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Solution

The fourth proportional to 3,588.50, 5,385.18 and 1,280 is: 1,920.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.50 : 5,385.18 = 1,280 : x
  2. Step 2: Convert to fraction form
    3,588.50/5,385.18 = 1,280/x
  3. Step 3: Cross multiply
    3,588.50x = 5,385.18 × 1,280
  4. Step 4: Simplify right side
    3,588.50x = 6,893,030.40
  5. Step 5: Solve for x
    x = 6,893,030.40/3,588.50
  6. Step 6: Final answer
    x = 1,920.87

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Why These Related Problems?

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