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Finding the Fourth Proportional to 5,365.92, 8,048.52 and 1,470

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Solution

The fourth proportional to 5,365.92, 8,048.52 and 1,470 is: 2,204.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.92 : 8,048.52 = 1,470 : x
  2. Step 2: Convert to fraction form
    5,365.92/8,048.52 = 1,470/x
  3. Step 3: Cross multiply
    5,365.92x = 8,048.52 × 1,470
  4. Step 4: Simplify right side
    5,365.92x = 11,831,324.40
  5. Step 5: Solve for x
    x = 11,831,324.40/5,365.92
  6. Step 6: Final answer
    x = 2,204.90

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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.