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Finding the Fourth Proportional to 5,541.48, 8,312.29 and 1,646.06

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Solution

The fourth proportional to 5,541.48, 8,312.29 and 1,646.06 is: 2,469.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.48 : 8,312.29 = 1,646.06 : x
  2. Step 2: Convert to fraction form
    5,541.48/8,312.29 = 1,646.06/x
  3. Step 3: Cross multiply
    5,541.48x = 8,312.29 × 1,646.06
  4. Step 4: Simplify right side
    5,541.48x = 13,682,482.40
  5. Step 5: Solve for x
    x = 13,682,482.40/5,541.48
  6. Step 6: Final answer
    x = 2,469.10

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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.