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Finding the Fourth Proportional to 5,869.70, 8,804.95 and 1,709.74

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Solution

The fourth proportional to 5,869.70, 8,804.95 and 1,709.74 is: 2,564.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.70 : 8,804.95 = 1,709.74 : x
  2. Step 2: Convert to fraction form
    5,869.70/8,804.95 = 1,709.74/x
  3. Step 3: Cross multiply
    5,869.70x = 8,804.95 × 1,709.74
  4. Step 4: Simplify right side
    5,869.70x = 15,054,148.93
  5. Step 5: Solve for x
    x = 15,054,148.93/5,869.70
  6. Step 6: Final answer
    x = 2,564.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.