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Finding the Fourth Proportional to 5,832.40, 8,746.80 and 1,672.08

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Solution

The fourth proportional to 5,832.40, 8,746.80 and 1,672.08 is: 2,507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.40 : 8,746.80 = 1,672.08 : x
  2. Step 2: Convert to fraction form
    5,832.40/8,746.80 = 1,672.08/x
  3. Step 3: Cross multiply
    5,832.40x = 8,746.80 × 1,672.08
  4. Step 4: Simplify right side
    5,832.40x = 14,625,349.34
  5. Step 5: Solve for x
    x = 14,625,349.34/5,832.40
  6. Step 6: Final answer
    x = 2,507.60

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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.