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Finding the Fourth Proportional to 3,389.76, 5,084.68 and 924.63

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Solution

The fourth proportional to 3,389.76, 5,084.68 and 924.63 is: 1,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.76 : 5,084.68 = 924.63 : x
  2. Step 2: Convert to fraction form
    3,389.76/5,084.68 = 924.63/x
  3. Step 3: Cross multiply
    3,389.76x = 5,084.68 × 924.63
  4. Step 4: Simplify right side
    3,389.76x = 4,701,447.67
  5. Step 5: Solve for x
    x = 4,701,447.67/3,389.76
  6. Step 6: Final answer
    x = 1,386.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.