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Finding the Fourth Proportional to 5,492.65, 8,240.38 and 1,597.06

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Solution

The fourth proportional to 5,492.65, 8,240.38 and 1,597.06 is: 2,395.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.65 : 8,240.38 = 1,597.06 : x
  2. Step 2: Convert to fraction form
    5,492.65/8,240.38 = 1,597.06/x
  3. Step 3: Cross multiply
    5,492.65x = 8,240.38 × 1,597.06
  4. Step 4: Simplify right side
    5,492.65x = 13,160,341.24
  5. Step 5: Solve for x
    x = 13,160,341.24/5,492.65
  6. Step 6: Final answer
    x = 2,395.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.