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Finding the Fourth Proportional to 3,492.96, 5,240.36 and 2,030.86

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Solution

The fourth proportional to 3,492.96, 5,240.36 and 2,030.86 is: 3,046.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.96 : 5,240.36 = 2,030.86 : x
  2. Step 2: Convert to fraction form
    3,492.96/5,240.36 = 2,030.86/x
  3. Step 3: Cross multiply
    3,492.96x = 5,240.36 × 2,030.86
  4. Step 4: Simplify right side
    3,492.96x = 10,642,437.51
  5. Step 5: Solve for x
    x = 10,642,437.51/3,492.96
  6. Step 6: Final answer
    x = 3,046.82

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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.