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Finding the Fourth Proportional to 3,507.39, 5,258.03 and 1,316.16

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Solution

The fourth proportional to 3,507.39, 5,258.03 and 1,316.16 is: 1,973.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.39 : 5,258.03 = 1,316.16 : x
  2. Step 2: Convert to fraction form
    3,507.39/5,258.03 = 1,316.16/x
  3. Step 3: Cross multiply
    3,507.39x = 5,258.03 × 1,316.16
  4. Step 4: Simplify right side
    3,507.39x = 6,920,402.18
  5. Step 5: Solve for x
    x = 6,920,402.18/3,507.39
  6. Step 6: Final answer
    x = 1,973.09

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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.