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Finding the Fourth Proportional to 6,148.78, 8,482.14 and 4,160.05

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Solution

The fourth proportional to 6,148.78, 8,482.14 and 4,160.05 is: 5,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.78 : 8,482.14 = 4,160.05 : x
  2. Step 2: Convert to fraction form
    6,148.78/8,482.14 = 4,160.05/x
  3. Step 3: Cross multiply
    6,148.78x = 8,482.14 × 4,160.05
  4. Step 4: Simplify right side
    6,148.78x = 35,286,126.51
  5. Step 5: Solve for x
    x = 35,286,126.51/6,148.78
  6. Step 6: Final answer
    x = 5,738.72

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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.