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Finding the Fourth Proportional to 4,586.40, 6,878.88 and 1,666.08

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Solution

The fourth proportional to 4,586.40, 6,878.88 and 1,666.08 is: 2,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.40 : 6,878.88 = 1,666.08 : x
  2. Step 2: Convert to fraction form
    4,586.40/6,878.88 = 1,666.08/x
  3. Step 3: Cross multiply
    4,586.40x = 6,878.88 × 1,666.08
  4. Step 4: Simplify right side
    4,586.40x = 11,460,764.39
  5. Step 5: Solve for x
    x = 11,460,764.39/4,586.40
  6. Step 6: Final answer
    x = 2,498.86

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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.