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Finding the Fourth Proportional to 3,705.96, 5,106.02 and 2,444.79

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Solution

The fourth proportional to 3,705.96, 5,106.02 and 2,444.79 is: 3,368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.96 : 5,106.02 = 2,444.79 : x
  2. Step 2: Convert to fraction form
    3,705.96/5,106.02 = 2,444.79/x
  3. Step 3: Cross multiply
    3,705.96x = 5,106.02 × 2,444.79
  4. Step 4: Simplify right side
    3,705.96x = 12,483,146.64
  5. Step 5: Solve for x
    x = 12,483,146.64/3,705.96
  6. Step 6: Final answer
    x = 3,368.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.