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Finding the Fourth Proportional to 5,312.20, 7,968.70 and 1,416.52

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Solution

The fourth proportional to 5,312.20, 7,968.70 and 1,416.52 is: 2,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.20 : 7,968.70 = 1,416.52 : x
  2. Step 2: Convert to fraction form
    5,312.20/7,968.70 = 1,416.52/x
  3. Step 3: Cross multiply
    5,312.20x = 7,968.70 × 1,416.52
  4. Step 4: Simplify right side
    5,312.20x = 11,287,822.92
  5. Step 5: Solve for x
    x = 11,287,822.92/5,312.20
  6. Step 6: Final answer
    x = 2,124.89

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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.