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Finding the Fourth Proportional to 4,713.54, 7,058.94 and 2,366.16

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Solution

The fourth proportional to 4,713.54, 7,058.94 and 2,366.16 is: 3,543.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.54 : 7,058.94 = 2,366.16 : x
  2. Step 2: Convert to fraction form
    4,713.54/7,058.94 = 2,366.16/x
  3. Step 3: Cross multiply
    4,713.54x = 7,058.94 × 2,366.16
  4. Step 4: Simplify right side
    4,713.54x = 16,702,581.47
  5. Step 5: Solve for x
    x = 16,702,581.47/4,713.54
  6. Step 6: Final answer
    x = 3,543.53

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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.