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Finding the Fourth Proportional to 5,352.47, 8,027.90 and 1,457.18

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Solution

The fourth proportional to 5,352.47, 8,027.90 and 1,457.18 is: 2,185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.47 : 8,027.90 = 1,457.18 : x
  2. Step 2: Convert to fraction form
    5,352.47/8,027.90 = 1,457.18/x
  3. Step 3: Cross multiply
    5,352.47x = 8,027.90 × 1,457.18
  4. Step 4: Simplify right side
    5,352.47x = 11,698,088.04
  5. Step 5: Solve for x
    x = 11,698,088.04/5,352.47
  6. Step 6: Final answer
    x = 2,185.55

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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.