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Finding the Fourth Proportional to 3,663.32, 5,492.34 and 1,714.46

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Solution

The fourth proportional to 3,663.32, 5,492.34 and 1,714.46 is: 2,570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.32 : 5,492.34 = 1,714.46 : x
  2. Step 2: Convert to fraction form
    3,663.32/5,492.34 = 1,714.46/x
  3. Step 3: Cross multiply
    3,663.32x = 5,492.34 × 1,714.46
  4. Step 4: Simplify right side
    3,663.32x = 9,416,369.77
  5. Step 5: Solve for x
    x = 9,416,369.77/3,663.32
  6. Step 6: Final answer
    x = 2,570.45

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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.