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Finding the Fourth Proportional to 4,492.32, 6,739.20 and 1,570.56

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Solution

The fourth proportional to 4,492.32, 6,739.20 and 1,570.56 is: 2,356.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.32 : 6,739.20 = 1,570.56 : x
  2. Step 2: Convert to fraction form
    4,492.32/6,739.20 = 1,570.56/x
  3. Step 3: Cross multiply
    4,492.32x = 6,739.20 × 1,570.56
  4. Step 4: Simplify right side
    4,492.32x = 10,584,317.95
  5. Step 5: Solve for x
    x = 10,584,317.95/4,492.32
  6. Step 6: Final answer
    x = 2,356.09

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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.