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Finding the Fourth Proportional to 5,492.78, 8,282.25 and 5,033.51

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Solution

The fourth proportional to 5,492.78, 8,282.25 and 5,033.51 is: 7,589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.78 : 8,282.25 = 5,033.51 : x
  2. Step 2: Convert to fraction form
    5,492.78/8,282.25 = 5,033.51/x
  3. Step 3: Cross multiply
    5,492.78x = 8,282.25 × 5,033.51
  4. Step 4: Simplify right side
    5,492.78x = 41,688,746.79
  5. Step 5: Solve for x
    x = 41,688,746.79/5,492.78
  6. Step 6: Final answer
    x = 7,589.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.