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Finding the Fourth Proportional to 6,129, 8,458.02 and 3,645

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Solution

The fourth proportional to 6,129, 8,458.02 and 3,645 is: 5,030.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129 : 8,458.02 = 3,645 : x
  2. Step 2: Convert to fraction form
    6,129/8,458.02 = 3,645/x
  3. Step 3: Cross multiply
    6,129x = 8,458.02 × 3,645
  4. Step 4: Simplify right side
    6,129x = 30,829,482.90
  5. Step 5: Solve for x
    x = 30,829,482.90/6,129
  6. Step 6: Final answer
    x = 5,030.10

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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.