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Finding the Fourth Proportional to 5,492.04, 7,580.16 and 5,049.24

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Solution

The fourth proportional to 5,492.04, 7,580.16 and 5,049.24 is: 6,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.04 : 7,580.16 = 5,049.24 : x
  2. Step 2: Convert to fraction form
    5,492.04/7,580.16 = 5,049.24/x
  3. Step 3: Cross multiply
    5,492.04x = 7,580.16 × 5,049.24
  4. Step 4: Simplify right side
    5,492.04x = 38,274,047.08
  5. Step 5: Solve for x
    x = 38,274,047.08/5,492.04
  6. Step 6: Final answer
    x = 6,969.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.