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Finding the Fourth Proportional to 3,587.31, 5,383.04 and 1,507.15

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Solution

The fourth proportional to 3,587.31, 5,383.04 and 1,507.15 is: 2,261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.31 : 5,383.04 = 1,507.15 : x
  2. Step 2: Convert to fraction form
    3,587.31/5,383.04 = 1,507.15/x
  3. Step 3: Cross multiply
    3,587.31x = 5,383.04 × 1,507.15
  4. Step 4: Simplify right side
    3,587.31x = 8,113,048.74
  5. Step 5: Solve for x
    x = 8,113,048.74/3,587.31
  6. Step 6: Final answer
    x = 2,261.60

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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.