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Finding the Fourth Proportional to 2,927.06, 4,368.46 and 2,849.30

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Solution

The fourth proportional to 2,927.06, 4,368.46 and 2,849.30 is: 4,252.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.06 : 4,368.46 = 2,849.30 : x
  2. Step 2: Convert to fraction form
    2,927.06/4,368.46 = 2,849.30/x
  3. Step 3: Cross multiply
    2,927.06x = 4,368.46 × 2,849.30
  4. Step 4: Simplify right side
    2,927.06x = 12,447,053.08
  5. Step 5: Solve for x
    x = 12,447,053.08/2,927.06
  6. Step 6: Final answer
    x = 4,252.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.