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Finding the Fourth Proportional to 4,752, 7,120.20 and 3,358.52

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Solution

The fourth proportional to 4,752, 7,120.20 and 3,358.52 is: 5,032.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752 : 7,120.20 = 3,358.52 : x
  2. Step 2: Convert to fraction form
    4,752/7,120.20 = 3,358.52/x
  3. Step 3: Cross multiply
    4,752x = 7,120.20 × 3,358.52
  4. Step 4: Simplify right side
    4,752x = 23,913,334.10
  5. Step 5: Solve for x
    x = 23,913,334.10/4,752
  6. Step 6: Final answer
    x = 5,032.27

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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.