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Finding the Fourth Proportional to 3,706.52, 5,559.76 and 970.52

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Solution

The fourth proportional to 3,706.52, 5,559.76 and 970.52 is: 1,455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.52 : 5,559.76 = 970.52 : x
  2. Step 2: Convert to fraction form
    3,706.52/5,559.76 = 970.52/x
  3. Step 3: Cross multiply
    3,706.52x = 5,559.76 × 970.52
  4. Step 4: Simplify right side
    3,706.52x = 5,395,858.28
  5. Step 5: Solve for x
    x = 5,395,858.28/3,706.52
  6. Step 6: Final answer
    x = 1,455.77

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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.