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Finding the Fourth Proportional to 5,409.04, 7,465.86 and 3,314.92

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Solution

The fourth proportional to 5,409.04, 7,465.86 and 3,314.92 is: 4,575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.04 : 7,465.86 = 3,314.92 : x
  2. Step 2: Convert to fraction form
    5,409.04/7,465.86 = 3,314.92/x
  3. Step 3: Cross multiply
    5,409.04x = 7,465.86 × 3,314.92
  4. Step 4: Simplify right side
    5,409.04x = 24,748,728.63
  5. Step 5: Solve for x
    x = 24,748,728.63/5,409.04
  6. Step 6: Final answer
    x = 4,575.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.