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Finding the Fourth Proportional to 3,583.20, 5,374.80 and 986.40

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Solution

The fourth proportional to 3,583.20, 5,374.80 and 986.40 is: 1,479.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.20 : 5,374.80 = 986.40 : x
  2. Step 2: Convert to fraction form
    3,583.20/5,374.80 = 986.40/x
  3. Step 3: Cross multiply
    3,583.20x = 5,374.80 × 986.40
  4. Step 4: Simplify right side
    3,583.20x = 5,301,702.72
  5. Step 5: Solve for x
    x = 5,301,702.72/3,583.20
  6. Step 6: Final answer
    x = 1,479.60

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1.5x scale

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.