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Finding the Fourth Proportional to 3,707.76, 5,541.16 and 2,973.90

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Solution

The fourth proportional to 3,707.76, 5,541.16 and 2,973.90 is: 4,444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.76 : 5,541.16 = 2,973.90 : x
  2. Step 2: Convert to fraction form
    3,707.76/5,541.16 = 2,973.90/x
  3. Step 3: Cross multiply
    3,707.76x = 5,541.16 × 2,973.90
  4. Step 4: Simplify right side
    3,707.76x = 16,478,855.72
  5. Step 5: Solve for x
    x = 16,478,855.72/3,707.76
  6. Step 6: Final answer
    x = 4,444.42

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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.