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Finding the Fourth Proportional to 4,379.88, 6,567.60 and 1,457.16

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Solution

The fourth proportional to 4,379.88, 6,567.60 and 1,457.16 is: 2,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,379.88 : 6,567.60 = 1,457.16 : x
  2. Step 2: Convert to fraction form
    4,379.88/6,567.60 = 1,457.16/x
  3. Step 3: Cross multiply
    4,379.88x = 6,567.60 × 1,457.16
  4. Step 4: Simplify right side
    4,379.88x = 9,570,044.02
  5. Step 5: Solve for x
    x = 9,570,044.02/4,379.88
  6. Step 6: Final answer
    x = 2,185.00

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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.