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Finding the Fourth Proportional to 3,492.74, 5,238.86 and 1,300.46

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Solution

The fourth proportional to 3,492.74, 5,238.86 and 1,300.46 is: 1,950.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.74 : 5,238.86 = 1,300.46 : x
  2. Step 2: Convert to fraction form
    3,492.74/5,238.86 = 1,300.46/x
  3. Step 3: Cross multiply
    3,492.74x = 5,238.86 × 1,300.46
  4. Step 4: Simplify right side
    3,492.74x = 6,812,904.93
  5. Step 5: Solve for x
    x = 6,812,904.93/3,492.74
  6. Step 6: Final answer
    x = 1,950.59

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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.