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Finding the Fourth Proportional to 5,492.55, 7,580.62 and 4,085.58

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Solution

The fourth proportional to 5,492.55, 7,580.62 and 4,085.58 is: 5,638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.55 : 7,580.62 = 4,085.58 : x
  2. Step 2: Convert to fraction form
    5,492.55/7,580.62 = 4,085.58/x
  3. Step 3: Cross multiply
    5,492.55x = 7,580.62 × 4,085.58
  4. Step 4: Simplify right side
    5,492.55x = 30,971,229.46
  5. Step 5: Solve for x
    x = 30,971,229.46/5,492.55
  6. Step 6: Final answer
    x = 5,638.77

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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.