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Finding the Fourth Proportional to 5,280.64, 7,918.61 and 1,582.18

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Solution

The fourth proportional to 5,280.64, 7,918.61 and 1,582.18 is: 2,372.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.64 : 7,918.61 = 1,582.18 : x
  2. Step 2: Convert to fraction form
    5,280.64/7,918.61 = 1,582.18/x
  3. Step 3: Cross multiply
    5,280.64x = 7,918.61 × 1,582.18
  4. Step 4: Simplify right side
    5,280.64x = 12,528,692.10
  5. Step 5: Solve for x
    x = 12,528,692.10/5,280.64
  6. Step 6: Final answer
    x = 2,372.57

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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.