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Finding the Fourth Proportional to 5,722.79, 8,583.50 and 1,506.47

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Solution

The fourth proportional to 5,722.79, 8,583.50 and 1,506.47 is: 2,259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.79 : 8,583.50 = 1,506.47 : x
  2. Step 2: Convert to fraction form
    5,722.79/8,583.50 = 1,506.47/x
  3. Step 3: Cross multiply
    5,722.79x = 8,583.50 × 1,506.47
  4. Step 4: Simplify right side
    5,722.79x = 12,930,746.09
  5. Step 5: Solve for x
    x = 12,930,746.09/5,722.79
  6. Step 6: Final answer
    x = 2,259.52

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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.