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Finding the Fourth Proportional to 5,798.87, 8,698.31 and 1,416.30

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Solution

The fourth proportional to 5,798.87, 8,698.31 and 1,416.30 is: 2,124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.87 : 8,698.31 = 1,416.30 : x
  2. Step 2: Convert to fraction form
    5,798.87/8,698.31 = 1,416.30/x
  3. Step 3: Cross multiply
    5,798.87x = 8,698.31 × 1,416.30
  4. Step 4: Simplify right side
    5,798.87x = 12,319,416.45
  5. Step 5: Solve for x
    x = 12,319,416.45/5,798.87
  6. Step 6: Final answer
    x = 2,124.45

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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.