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Finding the Fourth Proportional to 3,031.34, 4,547 and 951.52

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Solution

The fourth proportional to 3,031.34, 4,547 and 951.52 is: 1,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.34 : 4,547 = 951.52 : x
  2. Step 2: Convert to fraction form
    3,031.34/4,547 = 951.52/x
  3. Step 3: Cross multiply
    3,031.34x = 4,547 × 951.52
  4. Step 4: Simplify right side
    3,031.34x = 4,326,561.44
  5. Step 5: Solve for x
    x = 4,326,561.44/3,031.34
  6. Step 6: Final answer
    x = 1,427.28

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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.