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Finding the Fourth Proportional to 3,031.86, 4,547.64 and 951.52

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Solution

The fourth proportional to 3,031.86, 4,547.64 and 951.52 is: 1,427.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.86 : 4,547.64 = 951.52 : x
  2. Step 2: Convert to fraction form
    3,031.86/4,547.64 = 951.52/x
  3. Step 3: Cross multiply
    3,031.86x = 4,547.64 × 951.52
  4. Step 4: Simplify right side
    3,031.86x = 4,327,170.41
  5. Step 5: Solve for x
    x = 4,327,170.41/3,031.86
  6. Step 6: Final answer
    x = 1,427.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.