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Finding the Fourth Proportional to 4,894.65, 7,335.34 and 2,256.35

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Solution

The fourth proportional to 4,894.65, 7,335.34 and 2,256.35 is: 3,381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.65 : 7,335.34 = 2,256.35 : x
  2. Step 2: Convert to fraction form
    4,894.65/7,335.34 = 2,256.35/x
  3. Step 3: Cross multiply
    4,894.65x = 7,335.34 × 2,256.35
  4. Step 4: Simplify right side
    4,894.65x = 16,551,094.41
  5. Step 5: Solve for x
    x = 16,551,094.41/4,894.65
  6. Step 6: Final answer
    x = 3,381.47

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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.