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Finding the Fourth Proportional to 5,354.16, 8,032.02 and 1,656.72

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Solution

The fourth proportional to 5,354.16, 8,032.02 and 1,656.72 is: 2,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.16 : 8,032.02 = 1,656.72 : x
  2. Step 2: Convert to fraction form
    5,354.16/8,032.02 = 1,656.72/x
  3. Step 3: Cross multiply
    5,354.16x = 8,032.02 × 1,656.72
  4. Step 4: Simplify right side
    5,354.16x = 13,306,808.17
  5. Step 5: Solve for x
    x = 13,306,808.17/5,354.16
  6. Step 6: Final answer
    x = 2,485.32

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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.