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Finding the Fourth Proportional to 5,417.84, 8,125.56 and 1,522.16

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Solution

The fourth proportional to 5,417.84, 8,125.56 and 1,522.16 is: 2,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,417.84 : 8,125.56 = 1,522.16 : x
  2. Step 2: Convert to fraction form
    5,417.84/8,125.56 = 1,522.16/x
  3. Step 3: Cross multiply
    5,417.84x = 8,125.56 × 1,522.16
  4. Step 4: Simplify right side
    5,417.84x = 12,368,402.41
  5. Step 5: Solve for x
    x = 12,368,402.41/5,417.84
  6. Step 6: Final answer
    x = 2,282.90

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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.