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Finding the Fourth Proportional to 3,752, 5,630.56 and 1,320

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Solution

The fourth proportional to 3,752, 5,630.56 and 1,320 is: 1,980.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752 : 5,630.56 = 1,320 : x
  2. Step 2: Convert to fraction form
    3,752/5,630.56 = 1,320/x
  3. Step 3: Cross multiply
    3,752x = 5,630.56 × 1,320
  4. Step 4: Simplify right side
    3,752x = 7,432,339.20
  5. Step 5: Solve for x
    x = 7,432,339.20/3,752
  6. Step 6: Final answer
    x = 1,980.90

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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.