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Finding the Fourth Proportional to 5,416.42, 8,124.66 and 1,312.42

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Solution

The fourth proportional to 5,416.42, 8,124.66 and 1,312.42 is: 1,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.42 : 8,124.66 = 1,312.42 : x
  2. Step 2: Convert to fraction form
    5,416.42/8,124.66 = 1,312.42/x
  3. Step 3: Cross multiply
    5,416.42x = 8,124.66 × 1,312.42
  4. Step 4: Simplify right side
    5,416.42x = 10,662,966.28
  5. Step 5: Solve for x
    x = 10,662,966.28/5,416.42
  6. Step 6: Final answer
    x = 1,968.64

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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.