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Finding the Fourth Proportional to 3,508.57, 5,264.79 and 1,430.02

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Solution

The fourth proportional to 3,508.57, 5,264.79 and 1,430.02 is: 2,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.57 : 5,264.79 = 1,430.02 : x
  2. Step 2: Convert to fraction form
    3,508.57/5,264.79 = 1,430.02/x
  3. Step 3: Cross multiply
    3,508.57x = 5,264.79 × 1,430.02
  4. Step 4: Simplify right side
    3,508.57x = 7,528,755.00
  5. Step 5: Solve for x
    x = 7,528,755.00/3,508.57
  6. Step 6: Final answer
    x = 2,145.82

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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.