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Finding the Fourth Proportional to 5,370.47, 7,412.02 and 2,980.99

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Solution

The fourth proportional to 5,370.47, 7,412.02 and 2,980.99 is: 4,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370.47 : 7,412.02 = 2,980.99 : x
  2. Step 2: Convert to fraction form
    5,370.47/7,412.02 = 2,980.99/x
  3. Step 3: Cross multiply
    5,370.47x = 7,412.02 × 2,980.99
  4. Step 4: Simplify right side
    5,370.47x = 22,095,157.50
  5. Step 5: Solve for x
    x = 22,095,157.50/5,370.47
  6. Step 6: Final answer
    x = 4,114.19

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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.