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Finding the Fourth Proportional to 4,386.68, 6,580.36 and 1,464.99

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Solution

The fourth proportional to 4,386.68, 6,580.36 and 1,464.99 is: 2,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,386.68 : 6,580.36 = 1,464.99 : x
  2. Step 2: Convert to fraction form
    4,386.68/6,580.36 = 1,464.99/x
  3. Step 3: Cross multiply
    4,386.68x = 6,580.36 × 1,464.99
  4. Step 4: Simplify right side
    4,386.68x = 9,640,157.93
  5. Step 5: Solve for x
    x = 9,640,157.93/4,386.68
  6. Step 6: Final answer
    x = 2,197.60

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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.