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Finding the Fourth Proportional to 3,505.33, 5,258 and 1,557.01

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Solution

The fourth proportional to 3,505.33, 5,258 and 1,557.01 is: 2,335.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.33 : 5,258 = 1,557.01 : x
  2. Step 2: Convert to fraction form
    3,505.33/5,258 = 1,557.01/x
  3. Step 3: Cross multiply
    3,505.33x = 5,258 × 1,557.01
  4. Step 4: Simplify right side
    3,505.33x = 8,186,758.58
  5. Step 5: Solve for x
    x = 8,186,758.58/3,505.33
  6. Step 6: Final answer
    x = 2,335.52

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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.