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Finding the Fourth Proportional to 3,586.68, 4,947.63 and 3,332.98

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Solution

The fourth proportional to 3,586.68, 4,947.63 and 3,332.98 is: 4,597.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.68 : 4,947.63 = 3,332.98 : x
  2. Step 2: Convert to fraction form
    3,586.68/4,947.63 = 3,332.98/x
  3. Step 3: Cross multiply
    3,586.68x = 4,947.63 × 3,332.98
  4. Step 4: Simplify right side
    3,586.68x = 16,490,345.52
  5. Step 5: Solve for x
    x = 16,490,345.52/3,586.68
  6. Step 6: Final answer
    x = 4,597.66

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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.