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Finding the Fourth Proportional to 4,032.59, 6,047.85 and 1,259.54

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Solution

The fourth proportional to 4,032.59, 6,047.85 and 1,259.54 is: 1,888.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032.59 : 6,047.85 = 1,259.54 : x
  2. Step 2: Convert to fraction form
    4,032.59/6,047.85 = 1,259.54/x
  3. Step 3: Cross multiply
    4,032.59x = 6,047.85 × 1,259.54
  4. Step 4: Simplify right side
    4,032.59x = 7,617,501.43
  5. Step 5: Solve for x
    x = 7,617,501.43/4,032.59
  6. Step 6: Final answer
    x = 1,888.99

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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.