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Finding the Fourth Proportional to 5,800.26, 8,700.27 and 1,417.72

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Solution

The fourth proportional to 5,800.26, 8,700.27 and 1,417.72 is: 2,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800.26 : 8,700.27 = 1,417.72 : x
  2. Step 2: Convert to fraction form
    5,800.26/8,700.27 = 1,417.72/x
  3. Step 3: Cross multiply
    5,800.26x = 8,700.27 × 1,417.72
  4. Step 4: Simplify right side
    5,800.26x = 12,334,509.29
  5. Step 5: Solve for x
    x = 12,334,509.29/5,800.26
  6. Step 6: Final answer
    x = 2,126.54

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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.