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Finding the Fourth Proportional to 5,088.70, 7,019.49 and 3,670.80

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Solution

The fourth proportional to 5,088.70, 7,019.49 and 3,670.80 is: 5,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,088.70 : 7,019.49 = 3,670.80 : x
  2. Step 2: Convert to fraction form
    5,088.70/7,019.49 = 3,670.80/x
  3. Step 3: Cross multiply
    5,088.70x = 7,019.49 × 3,670.80
  4. Step 4: Simplify right side
    5,088.70x = 25,767,143.89
  5. Step 5: Solve for x
    x = 25,767,143.89/5,088.70
  6. Step 6: Final answer
    x = 5,063.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.