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Finding the Fourth Proportional to 3,457.13, 5,186.93 and 1,509.48

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Solution

The fourth proportional to 3,457.13, 5,186.93 and 1,509.48 is: 2,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.13 : 5,186.93 = 1,509.48 : x
  2. Step 2: Convert to fraction form
    3,457.13/5,186.93 = 1,509.48/x
  3. Step 3: Cross multiply
    3,457.13x = 5,186.93 × 1,509.48
  4. Step 4: Simplify right side
    3,457.13x = 7,829,559.55
  5. Step 5: Solve for x
    x = 7,829,559.55/3,457.13
  6. Step 6: Final answer
    x = 2,264.76

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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.