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Finding the Fourth Proportional to 5,416.46, 8,124.06 and 1,521.20

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Solution

The fourth proportional to 5,416.46, 8,124.06 and 1,521.20 is: 2,281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.46 : 8,124.06 = 1,521.20 : x
  2. Step 2: Convert to fraction form
    5,416.46/8,124.06 = 1,521.20/x
  3. Step 3: Cross multiply
    5,416.46x = 8,124.06 × 1,521.20
  4. Step 4: Simplify right side
    5,416.46x = 12,358,320.07
  5. Step 5: Solve for x
    x = 12,358,320.07/5,416.46
  6. Step 6: Final answer
    x = 2,281.62

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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.