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Finding the Fourth Proportional to 5,800.32, 8,700.44 and 1,417.74

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Solution

The fourth proportional to 5,800.32, 8,700.44 and 1,417.74 is: 2,126.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800.32 : 8,700.44 = 1,417.74 : x
  2. Step 2: Convert to fraction form
    5,800.32/8,700.44 = 1,417.74/x
  3. Step 3: Cross multiply
    5,800.32x = 8,700.44 × 1,417.74
  4. Step 4: Simplify right side
    5,800.32x = 12,334,954.72
  5. Step 5: Solve for x
    x = 12,334,954.72/5,800.32
  6. Step 6: Final answer
    x = 2,126.60

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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.