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Finding the Fourth Proportional to 4,643.57, 6,409.66 and 4,151.50

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Solution

The fourth proportional to 4,643.57, 6,409.66 and 4,151.50 is: 5,730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.57 : 6,409.66 = 4,151.50 : x
  2. Step 2: Convert to fraction form
    4,643.57/6,409.66 = 4,151.50/x
  3. Step 3: Cross multiply
    4,643.57x = 6,409.66 × 4,151.50
  4. Step 4: Simplify right side
    4,643.57x = 26,609,703.49
  5. Step 5: Solve for x
    x = 26,609,703.49/4,643.57
  6. Step 6: Final answer
    x = 5,730.44

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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.