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Finding the Fourth Proportional to 5,740.40, 8,599.20 and 4,502

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Solution

The fourth proportional to 5,740.40, 8,599.20 and 4,502 is: 6,744.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.40 : 8,599.20 = 4,502 : x
  2. Step 2: Convert to fraction form
    5,740.40/8,599.20 = 4,502/x
  3. Step 3: Cross multiply
    5,740.40x = 8,599.20 × 4,502
  4. Step 4: Simplify right side
    5,740.40x = 38,713,598.40
  5. Step 5: Solve for x
    x = 38,713,598.40/5,740.40
  6. Step 6: Final answer
    x = 6,744.06

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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.