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Finding the Fourth Proportional to 4,894.96, 7,341.36 and 1,432.48

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Solution

The fourth proportional to 4,894.96, 7,341.36 and 1,432.48 is: 2,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.96 : 7,341.36 = 1,432.48 : x
  2. Step 2: Convert to fraction form
    4,894.96/7,341.36 = 1,432.48/x
  3. Step 3: Cross multiply
    4,894.96x = 7,341.36 × 1,432.48
  4. Step 4: Simplify right side
    4,894.96x = 10,516,351.37
  5. Step 5: Solve for x
    x = 10,516,351.37/4,894.96
  6. Step 6: Final answer
    x = 2,148.40

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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.