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Finding the Fourth Proportional to 3,697.45, 5,547.25 and 1,389.13

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Solution

The fourth proportional to 3,697.45, 5,547.25 and 1,389.13 is: 2,084.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.45 : 5,547.25 = 1,389.13 : x
  2. Step 2: Convert to fraction form
    3,697.45/5,547.25 = 1,389.13/x
  3. Step 3: Cross multiply
    3,697.45x = 5,547.25 × 1,389.13
  4. Step 4: Simplify right side
    3,697.45x = 7,705,851.39
  5. Step 5: Solve for x
    x = 7,705,851.39/3,697.45
  6. Step 6: Final answer
    x = 2,084.10

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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.