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Finding the Fourth Proportional to 4,595.40, 6,898.92 and 4,574.40

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Solution

The fourth proportional to 4,595.40, 6,898.92 and 4,574.40 is: 6,867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595.40 : 6,898.92 = 4,574.40 : x
  2. Step 2: Convert to fraction form
    4,595.40/6,898.92 = 4,574.40/x
  3. Step 3: Cross multiply
    4,595.40x = 6,898.92 × 4,574.40
  4. Step 4: Simplify right side
    4,595.40x = 31,558,419.65
  5. Step 5: Solve for x
    x = 31,558,419.65/4,595.40
  6. Step 6: Final answer
    x = 6,867.39

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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.