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Finding the Fourth Proportional to 5,824.64, 8,720.10 and 5,223.72

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Solution

The fourth proportional to 5,824.64, 8,720.10 and 5,223.72 is: 7,820.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.64 : 8,720.10 = 5,223.72 : x
  2. Step 2: Convert to fraction form
    5,824.64/8,720.10 = 5,223.72/x
  3. Step 3: Cross multiply
    5,824.64x = 8,720.10 × 5,223.72
  4. Step 4: Simplify right side
    5,824.64x = 45,551,360.77
  5. Step 5: Solve for x
    x = 45,551,360.77/5,824.64
  6. Step 6: Final answer
    x = 7,820.46

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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.