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Finding the Fourth Proportional to 2,927.04, 4,370.88 and 2,894.64

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Solution

The fourth proportional to 2,927.04, 4,370.88 and 2,894.64 is: 4,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.04 : 4,370.88 = 2,894.64 : x
  2. Step 2: Convert to fraction form
    2,927.04/4,370.88 = 2,894.64/x
  3. Step 3: Cross multiply
    2,927.04x = 4,370.88 × 2,894.64
  4. Step 4: Simplify right side
    2,927.04x = 12,652,124.08
  5. Step 5: Solve for x
    x = 12,652,124.08/2,927.04
  6. Step 6: Final answer
    x = 4,322.50

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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.