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Finding the Fourth Proportional to 4,204.95, 6,308.35 and 1,283.48

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Solution

The fourth proportional to 4,204.95, 6,308.35 and 1,283.48 is: 1,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.95 : 6,308.35 = 1,283.48 : x
  2. Step 2: Convert to fraction form
    4,204.95/6,308.35 = 1,283.48/x
  3. Step 3: Cross multiply
    4,204.95x = 6,308.35 × 1,283.48
  4. Step 4: Simplify right side
    4,204.95x = 8,096,641.06
  5. Step 5: Solve for x
    x = 8,096,641.06/4,204.95
  6. Step 6: Final answer
    x = 1,925.50

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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.