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Finding the Fourth Proportional to 3,508.66, 5,263.98 and 1,430.14

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Solution

The fourth proportional to 3,508.66, 5,263.98 and 1,430.14 is: 2,145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.66 : 5,263.98 = 1,430.14 : x
  2. Step 2: Convert to fraction form
    3,508.66/5,263.98 = 1,430.14/x
  3. Step 3: Cross multiply
    3,508.66x = 5,263.98 × 1,430.14
  4. Step 4: Simplify right side
    3,508.66x = 7,528,228.36
  5. Step 5: Solve for x
    x = 7,528,228.36/3,508.66
  6. Step 6: Final answer
    x = 2,145.61

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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.