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Finding the Fourth Proportional to 4,595.92, 6,852.70 and 4,513

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Solution

The fourth proportional to 4,595.92, 6,852.70 and 4,513 is: 6,729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595.92 : 6,852.70 = 4,513 : x
  2. Step 2: Convert to fraction form
    4,595.92/6,852.70 = 4,513/x
  3. Step 3: Cross multiply
    4,595.92x = 6,852.70 × 4,513
  4. Step 4: Simplify right side
    4,595.92x = 30,926,235.10
  5. Step 5: Solve for x
    x = 30,926,235.10/4,595.92
  6. Step 6: Final answer
    x = 6,729.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.