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Finding the Fourth Proportional to 3,696.88, 5,547.12 and 1,507.12

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Solution

The fourth proportional to 3,696.88, 5,547.12 and 1,507.12 is: 2,261.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.88 : 5,547.12 = 1,507.12 : x
  2. Step 2: Convert to fraction form
    3,696.88/5,547.12 = 1,507.12/x
  3. Step 3: Cross multiply
    3,696.88x = 5,547.12 × 1,507.12
  4. Step 4: Simplify right side
    3,696.88x = 8,360,175.49
  5. Step 5: Solve for x
    x = 8,360,175.49/3,696.88
  6. Step 6: Final answer
    x = 2,261.41

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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.