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Finding the Fourth Proportional to 4,666.74, 7,000.45 and 1,856.67

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Solution

The fourth proportional to 4,666.74, 7,000.45 and 1,856.67 is: 2,785.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.74 : 7,000.45 = 1,856.67 : x
  2. Step 2: Convert to fraction form
    4,666.74/7,000.45 = 1,856.67/x
  3. Step 3: Cross multiply
    4,666.74x = 7,000.45 × 1,856.67
  4. Step 4: Simplify right side
    4,666.74x = 12,997,566.73
  5. Step 5: Solve for x
    x = 12,997,566.73/4,666.74
  6. Step 6: Final answer
    x = 2,785.15

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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.