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Finding the Fourth Proportional to 5,870.58, 8,804.32 and 1,709.47

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Solution

The fourth proportional to 5,870.58, 8,804.32 and 1,709.47 is: 2,563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.58 : 8,804.32 = 1,709.47 : x
  2. Step 2: Convert to fraction form
    5,870.58/8,804.32 = 1,709.47/x
  3. Step 3: Cross multiply
    5,870.58x = 8,804.32 × 1,709.47
  4. Step 4: Simplify right side
    5,870.58x = 15,050,720.91
  5. Step 5: Solve for x
    x = 15,050,720.91/5,870.58
  6. Step 6: Final answer
    x = 2,563.75

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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.