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Finding the Fourth Proportional to 5,325.84, 7,986 and 1,862.28

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Solution

The fourth proportional to 5,325.84, 7,986 and 1,862.28 is: 2,792.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.84 : 7,986 = 1,862.28 : x
  2. Step 2: Convert to fraction form
    5,325.84/7,986 = 1,862.28/x
  3. Step 3: Cross multiply
    5,325.84x = 7,986 × 1,862.28
  4. Step 4: Simplify right side
    5,325.84x = 14,872,168.08
  5. Step 5: Solve for x
    x = 14,872,168.08/5,325.84
  6. Step 6: Final answer
    x = 2,792.45

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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.