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Finding the Fourth Proportional to 5,353.60, 8,031.17 and 1,656.16

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Solution

The fourth proportional to 5,353.60, 8,031.17 and 1,656.16 is: 2,484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,353.60 : 8,031.17 = 1,656.16 : x
  2. Step 2: Convert to fraction form
    5,353.60/8,031.17 = 1,656.16/x
  3. Step 3: Cross multiply
    5,353.60x = 8,031.17 × 1,656.16
  4. Step 4: Simplify right side
    5,353.60x = 13,300,902.51
  5. Step 5: Solve for x
    x = 13,300,902.51/5,353.60
  6. Step 6: Final answer
    x = 2,484.48

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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.