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Finding the Fourth Proportional to 3,405.84, 4,698.12 and 2,356.08

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Solution

The fourth proportional to 3,405.84, 4,698.12 and 2,356.08 is: 3,250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.84 : 4,698.12 = 2,356.08 : x
  2. Step 2: Convert to fraction form
    3,405.84/4,698.12 = 2,356.08/x
  3. Step 3: Cross multiply
    3,405.84x = 4,698.12 × 2,356.08
  4. Step 4: Simplify right side
    3,405.84x = 11,069,146.57
  5. Step 5: Solve for x
    x = 11,069,146.57/3,405.84
  6. Step 6: Final answer
    x = 3,250.05

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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.