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Finding the Fourth Proportional to 4,865.76, 7,298.52 and 2,090.16

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Solution

The fourth proportional to 4,865.76, 7,298.52 and 2,090.16 is: 3,135.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.76 : 7,298.52 = 2,090.16 : x
  2. Step 2: Convert to fraction form
    4,865.76/7,298.52 = 2,090.16/x
  3. Step 3: Cross multiply
    4,865.76x = 7,298.52 × 2,090.16
  4. Step 4: Simplify right side
    4,865.76x = 15,255,074.56
  5. Step 5: Solve for x
    x = 15,255,074.56/4,865.76
  6. Step 6: Final answer
    x = 3,135.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.