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Finding the Fourth Proportional to 5,582.40, 7,702.72 and 3,223.68

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Solution

The fourth proportional to 5,582.40, 7,702.72 and 3,223.68 is: 4,448.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.40 : 7,702.72 = 3,223.68 : x
  2. Step 2: Convert to fraction form
    5,582.40/7,702.72 = 3,223.68/x
  3. Step 3: Cross multiply
    5,582.40x = 7,702.72 × 3,223.68
  4. Step 4: Simplify right side
    5,582.40x = 24,831,104.41
  5. Step 5: Solve for x
    x = 24,831,104.41/5,582.40
  6. Step 6: Final answer
    x = 4,448.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.