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Finding the Fourth Proportional to 5,724.24, 8,588 and 2,803.40

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Solution

The fourth proportional to 5,724.24, 8,588 and 2,803.40 is: 4,205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.24 : 8,588 = 2,803.40 : x
  2. Step 2: Convert to fraction form
    5,724.24/8,588 = 2,803.40/x
  3. Step 3: Cross multiply
    5,724.24x = 8,588 × 2,803.40
  4. Step 4: Simplify right side
    5,724.24x = 24,075,599.20
  5. Step 5: Solve for x
    x = 24,075,599.20/5,724.24
  6. Step 6: Final answer
    x = 4,205.90

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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.