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Finding the Fourth Proportional to 5,492.64, 8,219.52 and 5,220.48

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Solution

The fourth proportional to 5,492.64, 8,219.52 and 5,220.48 is: 7,812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.64 : 8,219.52 = 5,220.48 : x
  2. Step 2: Convert to fraction form
    5,492.64/8,219.52 = 5,220.48/x
  3. Step 3: Cross multiply
    5,492.64x = 8,219.52 × 5,220.48
  4. Step 4: Simplify right side
    5,492.64x = 42,909,839.77
  5. Step 5: Solve for x
    x = 42,909,839.77/5,492.64
  6. Step 6: Final answer
    x = 7,812.24

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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.