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Finding the Fourth Proportional to 5,335.60, 8,004.84 and 1,637.76

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Solution

The fourth proportional to 5,335.60, 8,004.84 and 1,637.76 is: 2,457.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.60 : 8,004.84 = 1,637.76 : x
  2. Step 2: Convert to fraction form
    5,335.60/8,004.84 = 1,637.76/x
  3. Step 3: Cross multiply
    5,335.60x = 8,004.84 × 1,637.76
  4. Step 4: Simplify right side
    5,335.60x = 13,110,006.76
  5. Step 5: Solve for x
    x = 13,110,006.76/5,335.60
  6. Step 6: Final answer
    x = 2,457.08

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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.