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Finding the Fourth Proportional to 4,335, 6,502.08 and 1,994.04

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Solution

The fourth proportional to 4,335, 6,502.08 and 1,994.04 is: 2,990.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335 : 6,502.08 = 1,994.04 : x
  2. Step 2: Convert to fraction form
    4,335/6,502.08 = 1,994.04/x
  3. Step 3: Cross multiply
    4,335x = 6,502.08 × 1,994.04
  4. Step 4: Simplify right side
    4,335x = 12,965,407.60
  5. Step 5: Solve for x
    x = 12,965,407.60/4,335
  6. Step 6: Final answer
    x = 2,990.87

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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.