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Finding the Fourth Proportional to 4,841.84, 6,678.96 and 3,070.40

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Solution

The fourth proportional to 4,841.84, 6,678.96 and 3,070.40 is: 4,235.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841.84 : 6,678.96 = 3,070.40 : x
  2. Step 2: Convert to fraction form
    4,841.84/6,678.96 = 3,070.40/x
  3. Step 3: Cross multiply
    4,841.84x = 6,678.96 × 3,070.40
  4. Step 4: Simplify right side
    4,841.84x = 20,507,078.78
  5. Step 5: Solve for x
    x = 20,507,078.78/4,841.84
  6. Step 6: Final answer
    x = 4,235.39

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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.