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Finding the Fourth Proportional to 4,853.68, 6,698.80 and 2,966.35

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Solution

The fourth proportional to 4,853.68, 6,698.80 and 2,966.35 is: 4,094.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.68 : 6,698.80 = 2,966.35 : x
  2. Step 2: Convert to fraction form
    4,853.68/6,698.80 = 2,966.35/x
  3. Step 3: Cross multiply
    4,853.68x = 6,698.80 × 2,966.35
  4. Step 4: Simplify right side
    4,853.68x = 19,870,985.38
  5. Step 5: Solve for x
    x = 19,870,985.38/4,853.68
  6. Step 6: Final answer
    x = 4,094.00

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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.