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Finding the Fourth Proportional to 5,615.79, 7,748.35 and 3,624

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Solution

The fourth proportional to 5,615.79, 7,748.35 and 3,624 is: 5,000.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.79 : 7,748.35 = 3,624 : x
  2. Step 2: Convert to fraction form
    5,615.79/7,748.35 = 3,624/x
  3. Step 3: Cross multiply
    5,615.79x = 7,748.35 × 3,624
  4. Step 4: Simplify right side
    5,615.79x = 28,080,020.40
  5. Step 5: Solve for x
    x = 28,080,020.40/5,615.79
  6. Step 6: Final answer
    x = 5,000.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.