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Finding the Fourth Proportional to 5,975.76, 8,248.20 and 3,492.24

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Solution

The fourth proportional to 5,975.76, 8,248.20 and 3,492.24 is: 4,820.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.76 : 8,248.20 = 3,492.24 : x
  2. Step 2: Convert to fraction form
    5,975.76/8,248.20 = 3,492.24/x
  3. Step 3: Cross multiply
    5,975.76x = 8,248.20 × 3,492.24
  4. Step 4: Simplify right side
    5,975.76x = 28,804,693.97
  5. Step 5: Solve for x
    x = 28,804,693.97/5,975.76
  6. Step 6: Final answer
    x = 4,820.26

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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.