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Finding the Fourth Proportional to 3,499.64, 4,830.38 and 2,437.58

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Solution

The fourth proportional to 3,499.64, 4,830.38 and 2,437.58 is: 3,364.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.64 : 4,830.38 = 2,437.58 : x
  2. Step 2: Convert to fraction form
    3,499.64/4,830.38 = 2,437.58/x
  3. Step 3: Cross multiply
    3,499.64x = 4,830.38 × 2,437.58
  4. Step 4: Simplify right side
    3,499.64x = 11,774,401.34
  5. Step 5: Solve for x
    x = 11,774,401.34/3,499.64
  6. Step 6: Final answer
    x = 3,364.47

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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.