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Finding the Fourth Proportional to 4,841.77, 6,681.77 and 2,952.92

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Solution

The fourth proportional to 4,841.77, 6,681.77 and 2,952.92 is: 4,075.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841.77 : 6,681.77 = 2,952.92 : x
  2. Step 2: Convert to fraction form
    4,841.77/6,681.77 = 2,952.92/x
  3. Step 3: Cross multiply
    4,841.77x = 6,681.77 × 2,952.92
  4. Step 4: Simplify right side
    4,841.77x = 19,730,713.38
  5. Step 5: Solve for x
    x = 19,730,713.38/4,841.77
  6. Step 6: Final answer
    x = 4,075.11

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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.