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Finding the Fourth Proportional to 4,641.08, 6,962.32 and 1,354.40

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Solution

The fourth proportional to 4,641.08, 6,962.32 and 1,354.40 is: 2,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.08 : 6,962.32 = 1,354.40 : x
  2. Step 2: Convert to fraction form
    4,641.08/6,962.32 = 1,354.40/x
  3. Step 3: Cross multiply
    4,641.08x = 6,962.32 × 1,354.40
  4. Step 4: Simplify right side
    4,641.08x = 9,429,766.21
  5. Step 5: Solve for x
    x = 9,429,766.21/4,641.08
  6. Step 6: Final answer
    x = 2,031.80

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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.