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Finding the Fourth Proportional to 3,697.47, 5,547.03 and 1,232.53

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Solution

The fourth proportional to 3,697.47, 5,547.03 and 1,232.53 is: 1,849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.47 : 5,547.03 = 1,232.53 : x
  2. Step 2: Convert to fraction form
    3,697.47/5,547.03 = 1,232.53/x
  3. Step 3: Cross multiply
    3,697.47x = 5,547.03 × 1,232.53
  4. Step 4: Simplify right side
    3,697.47x = 6,836,880.89
  5. Step 5: Solve for x
    x = 6,836,880.89/3,697.47
  6. Step 6: Final answer
    x = 1,849.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.