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Finding the Fourth Proportional to 5,492.94, 7,587.63 and 5,233.74

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Solution

The fourth proportional to 5,492.94, 7,587.63 and 5,233.74 is: 7,229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.94 : 7,587.63 = 5,233.74 : x
  2. Step 2: Convert to fraction form
    5,492.94/7,587.63 = 5,233.74/x
  3. Step 3: Cross multiply
    5,492.94x = 7,587.63 × 5,233.74
  4. Step 4: Simplify right side
    5,492.94x = 39,711,682.64
  5. Step 5: Solve for x
    x = 39,711,682.64/5,492.94
  6. Step 6: Final answer
    x = 7,229.59

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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.