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Finding the Fourth Proportional to 3,492.17, 5,237.45 and 1,301.93

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Solution

The fourth proportional to 3,492.17, 5,237.45 and 1,301.93 is: 1,952.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.17 : 5,237.45 = 1,301.93 : x
  2. Step 2: Convert to fraction form
    3,492.17/5,237.45 = 1,301.93/x
  3. Step 3: Cross multiply
    3,492.17x = 5,237.45 × 1,301.93
  4. Step 4: Simplify right side
    3,492.17x = 6,818,786.77
  5. Step 5: Solve for x
    x = 6,818,786.77/3,492.17
  6. Step 6: Final answer
    x = 1,952.59

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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.