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Finding the Fourth Proportional to 3,970.47, 5,955.59 and 1,048.80

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Solution

The fourth proportional to 3,970.47, 5,955.59 and 1,048.80 is: 1,573.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.47 : 5,955.59 = 1,048.80 : x
  2. Step 2: Convert to fraction form
    3,970.47/5,955.59 = 1,048.80/x
  3. Step 3: Cross multiply
    3,970.47x = 5,955.59 × 1,048.80
  4. Step 4: Simplify right side
    3,970.47x = 6,246,217.55
  5. Step 5: Solve for x
    x = 6,246,217.55/3,970.47
  6. Step 6: Final answer
    x = 1,573.17

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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.