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Finding the Fourth Proportional to 4,959.50, 7,442.14 and 2,223.50

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Solution

The fourth proportional to 4,959.50, 7,442.14 and 2,223.50 is: 3,336.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.50 : 7,442.14 = 2,223.50 : x
  2. Step 2: Convert to fraction form
    4,959.50/7,442.14 = 2,223.50/x
  3. Step 3: Cross multiply
    4,959.50x = 7,442.14 × 2,223.50
  4. Step 4: Simplify right side
    4,959.50x = 16,547,598.29
  5. Step 5: Solve for x
    x = 16,547,598.29/4,959.50
  6. Step 6: Final answer
    x = 3,336.55

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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.