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Finding the Fourth Proportional to 4,458.78, 6,683.10 and 1,858.50

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Solution

The fourth proportional to 4,458.78, 6,683.10 and 1,858.50 is: 2,785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,458.78 : 6,683.10 = 1,858.50 : x
  2. Step 2: Convert to fraction form
    4,458.78/6,683.10 = 1,858.50/x
  3. Step 3: Cross multiply
    4,458.78x = 6,683.10 × 1,858.50
  4. Step 4: Simplify right side
    4,458.78x = 12,420,541.35
  5. Step 5: Solve for x
    x = 12,420,541.35/4,458.78
  6. Step 6: Final answer
    x = 2,785.64

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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.