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Finding the Fourth Proportional to 5,492.22, 7,582.76 and 3,607.14

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Solution

The fourth proportional to 5,492.22, 7,582.76 and 3,607.14 is: 4,980.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.22 : 7,582.76 = 3,607.14 : x
  2. Step 2: Convert to fraction form
    5,492.22/7,582.76 = 3,607.14/x
  3. Step 3: Cross multiply
    5,492.22x = 7,582.76 × 3,607.14
  4. Step 4: Simplify right side
    5,492.22x = 27,352,076.91
  5. Step 5: Solve for x
    x = 27,352,076.91/5,492.22
  6. Step 6: Final answer
    x = 4,980.15

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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.