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Finding the Fourth Proportional to 3,507.03, 5,259 and 1,314.22

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Solution

The fourth proportional to 3,507.03, 5,259 and 1,314.22 is: 1,970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.03 : 5,259 = 1,314.22 : x
  2. Step 2: Convert to fraction form
    3,507.03/5,259 = 1,314.22/x
  3. Step 3: Cross multiply
    3,507.03x = 5,259 × 1,314.22
  4. Step 4: Simplify right side
    3,507.03x = 6,911,482.98
  5. Step 5: Solve for x
    x = 6,911,482.98/3,507.03
  6. Step 6: Final answer
    x = 1,970.75

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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.