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Finding the Fourth Proportional to 4,289.89, 6,431.93 and 1,478.00

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Solution

The fourth proportional to 4,289.89, 6,431.93 and 1,478.00 is: 2,216.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.89 : 6,431.93 = 1,478.00 : x
  2. Step 2: Convert to fraction form
    4,289.89/6,431.93 = 1,478.00/x
  3. Step 3: Cross multiply
    4,289.89x = 6,431.93 × 1,478.00
  4. Step 4: Simplify right side
    4,289.89x = 9,506,412.31
  5. Step 5: Solve for x
    x = 9,506,412.31/4,289.89
  6. Step 6: Final answer
    x = 2,216.01

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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.