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Finding the Fourth Proportional to 4,303.96, 6,456.54 and 1,492.48

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Solution

The fourth proportional to 4,303.96, 6,456.54 and 1,492.48 is: 2,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.96 : 6,456.54 = 1,492.48 : x
  2. Step 2: Convert to fraction form
    4,303.96/6,456.54 = 1,492.48/x
  3. Step 3: Cross multiply
    4,303.96x = 6,456.54 × 1,492.48
  4. Step 4: Simplify right side
    4,303.96x = 9,636,256.82
  5. Step 5: Solve for x
    x = 9,636,256.82/4,303.96
  6. Step 6: Final answer
    x = 2,238.93

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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.