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Finding the Fourth Proportional to 4,642.09, 6,962.45 and 1,354.30

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Solution

The fourth proportional to 4,642.09, 6,962.45 and 1,354.30 is: 2,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.09 : 6,962.45 = 1,354.30 : x
  2. Step 2: Convert to fraction form
    4,642.09/6,962.45 = 1,354.30/x
  3. Step 3: Cross multiply
    4,642.09x = 6,962.45 × 1,354.30
  4. Step 4: Simplify right side
    4,642.09x = 9,429,246.04
  5. Step 5: Solve for x
    x = 9,429,246.04/4,642.09
  6. Step 6: Final answer
    x = 2,031.25

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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.