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Finding the Fourth Proportional to 4,597.70, 6,894.12 and 2,952.59

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Solution

The fourth proportional to 4,597.70, 6,894.12 and 2,952.59 is: 4,427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.70 : 6,894.12 = 2,952.59 : x
  2. Step 2: Convert to fraction form
    4,597.70/6,894.12 = 2,952.59/x
  3. Step 3: Cross multiply
    4,597.70x = 6,894.12 × 2,952.59
  4. Step 4: Simplify right side
    4,597.70x = 20,355,509.77
  5. Step 5: Solve for x
    x = 20,355,509.77/4,597.70
  6. Step 6: Final answer
    x = 4,427.32

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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.